Skip to content

HTTPS clone URL

Subversion checkout URL

You can clone with
or
.
Download ZIP
Browse files

Clean up SF pod

  • Loading branch information...
commit 086f095cc46f771b8447bdfb2b7e12aefd2d8e57 1 parent 1dcfdfd
@leto authored
Showing with 241 additions and 236 deletions.
  1. +241 −236 pod/SF.pod
View
477 pod/SF.pod
@@ -596,7 +596,7 @@ Math::GSL::SF - Special Functions
=head1 SYNOPSIS
- use Math::GSL::SF qw /:all/;
+ use Math::GSL::SF qw/:all/;
=head1 DESCRIPTION
@@ -618,7 +618,7 @@ Here is a list of all included functions:
=item C<gsl_sf_airy_Ai($x, $mode, $result)>
-- These routines compute the Airy function Ai($x) with an accuracy specified by $mode. $mode should be $GSL_PREC_DOUBLE, $GSL_PREC_SINGLE or $GSL_PREC_APPROX. $result is a gsl_sf_result structure.
+ These routines compute the Airy function Ai($x) with an accuracy specified by $mode. $mode should be $GSL_PREC_DOUBLE, $GSL_PREC_SINGLE or $GSL_PREC_APPROX. $result is a gsl_sf_result structure.
=back
@@ -628,7 +628,7 @@ Here is a list of all included functions:
=item C<gsl_sf_airy_Bi($x, $mode)>
-- These routines compute the Airy function Bi($x) with an accuracy specified by $mode. $mode should be $GSL_PREC_DOUBLE, $GSL_PREC_SINGLE or $GSL_PREC_APPROX. $result is a gsl_sf_result structure.
+ These routines compute the Airy function Bi($x) with an accuracy specified by $mode. $mode should be $GSL_PREC_DOUBLE, $GSL_PREC_SINGLE or $GSL_PREC_APPROX. $result is a gsl_sf_result structure.
=back
@@ -638,7 +638,7 @@ Here is a list of all included functions:
=item C<gsl_sf_airy_Ai_scaled($x, $mode)>
-- These routines compute a scaled version of the Airy function S_A($x) Ai($x). For $x>0 the scaling factor S_A($x) is \exp(+(2/3) $x**(3/2)), and is 1 for $x<0. $result is a gsl_sf_result structure.
+ These routines compute a scaled version of the Airy function S_A($x) Ai($x). For $x>0 the scaling factor S_A($x) is \exp(+(2/3) $x**(3/2)), and is 1 for $x<0. $result is a gsl_sf_result structure.
=back
@@ -648,7 +648,7 @@ Here is a list of all included functions:
=item C<gsl_sf_airy_Bi_scaled($x, $mode)>
-- These routines compute a scaled version of the Airy function S_B($x) Bi($x). For $x>0 the scaling factor S_B($x) is exp(-(2/3) $x**(3/2)), and is 1 for $x<0. $result is a gsl_sf_result structure.
+ These routines compute a scaled version of the Airy function S_B($x) Bi($x). For $x>0 the scaling factor S_B($x) is exp(-(2/3) $x**(3/2)), and is 1 for $x<0. $result is a gsl_sf_result structure.
=back
@@ -658,7 +658,7 @@ Here is a list of all included functions:
=item C<gsl_sf_airy_Ai_deriv($x, $mode)>
-- These routines compute the Airy function derivative Ai'($x) with an accuracy specified by $mode. $result is a gsl_sf_result structure.
+ These routines compute the Airy function derivative Ai'($x) with an accuracy specified by $mode. $result is a gsl_sf_result structure.
=back
@@ -668,7 +668,7 @@ Here is a list of all included functions:
=item C<gsl_sf_airy_Bi_deriv($x, $mode)>
--These routines compute the Airy function derivative Bi'($x) with an accuracy specified by $mode. $result is a gsl_sf_result structure.
+These routines compute the Airy function derivative Bi'($x) with an accuracy specified by $mode. $result is a gsl_sf_result structure.
=back
@@ -678,7 +678,7 @@ Here is a list of all included functions:
=item C<gsl_sf_airy_Ai_deriv_scaled($x, $mode)>
--These routines compute the scaled Airy function derivative S_A(x) Ai'(x). For x>0 the scaling factor S_A(x) is \exp(+(2/3) x^(3/2)), and is 1 for x<0. $result is a gsl_sf_result structure.
+These routines compute the scaled Airy function derivative S_A(x) Ai'(x). For x>0 the scaling factor S_A(x) is \exp(+(2/3) x^(3/2)), and is 1 for x<0. $result is a gsl_sf_result structure.
=back
@@ -688,7 +688,7 @@ Here is a list of all included functions:
=item C<gsl_sf_airy_Bi_deriv_scaled($x, $mode)>
--These routines compute the scaled Airy function derivative S_B(x) Bi'(x). For x>0 the scaling factor S_B(x) is exp(-(2/3) x^(3/2)), and is 1 for x<0. $result is a gsl_sf_result structure.
+These routines compute the scaled Airy function derivative S_B(x) Bi'(x). For x>0 the scaling factor S_B(x) is exp(-(2/3) x^(3/2)), and is 1 for x<0. $result is a gsl_sf_result structure.
=back
@@ -698,7 +698,7 @@ Here is a list of all included functions:
=item C<gsl_sf_airy_zero_Ai($s)>
--These routines compute the location of the s-th zero of the Airy function Ai($x). $result is a gsl_sf_result structure.
+These routines compute the location of the s-th zero of the Airy function Ai($x). $result is a gsl_sf_result structure.
=back
@@ -708,7 +708,7 @@ Here is a list of all included functions:
=item C<gsl_sf_airy_zero_Bi($s)>
--These routines compute the location of the s-th zero of the Airy function Bi($x). $result is a gsl_sf_result structure.
+These routines compute the location of the s-th zero of the Airy function Bi($x). $result is a gsl_sf_result structure.
=back
@@ -718,7 +718,7 @@ Here is a list of all included functions:
=item C<gsl_sf_airy_zero_Ai_deriv($s)>
--These routines compute the location of the s-th zero of the Airy function derivative Ai'(x). $result is a gsl_sf_result structure.
+These routines compute the location of the s-th zero of the Airy function derivative Ai'(x). $result is a gsl_sf_result structure.
=back
@@ -728,7 +728,7 @@ Here is a list of all included functions:
=item C<gsl_sf_airy_zero_Bi_deriv($s)>
-- These routines compute the location of the s-th zero of the Airy function derivative Bi'(x). $result is a gsl_sf_result structure.
+ These routines compute the location of the s-th zero of the Airy function derivative Bi'(x). $result is a gsl_sf_result structure.
=back
@@ -738,7 +738,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_J0($x)>
--These routines compute the regular cylindrical Bessel function of zeroth order, J_0($x). $result is a gsl_sf_result structure.
+These routines compute the regular cylindrical Bessel function of zeroth order, J_0($x). $result is a gsl_sf_result structure.
=back
@@ -748,7 +748,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_J1($x)>
-- These routines compute the regular cylindrical Bessel function of first order, J_1($x). $result is a gsl_sf_result structure.
+ These routines compute the regular cylindrical Bessel function of first order, J_1($x). $result is a gsl_sf_result structure.
=back
@@ -758,13 +758,18 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_Jn($n, $x)>
--These routines compute the regular cylindrical Bessel function of order n, J_n($x).
+These routines compute the regular cylindrical Bessel function of order n, J_n($x).
=back
=over
-=item C<gsl_sf_bessel_Jn_array($nmin, $nmax, $x, $result_array)> - This routine computes the values of the regular cylindrical Bessel functions J_n($x) for n from $nmin to $nmax inclusive, storing the results in the array $result_array. The values are computed using recurrence relations for efficiency, and therefore may differ slightly from the exact values.
+=item C<gsl_sf_bessel_Jn_array($nmin, $nmax, $x, $result_array)>
+
+This routine computes the values of the regular cylindrical Bessel functions
+J_n($x) for n from $nmin to $nmax inclusive, storing the results in the array
+$result_array. The values are computed using recurrence relations for
+efficiency, and therefore may differ slightly from the exact values.
=back
@@ -774,7 +779,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_Y0($x)>
-- These routines compute the irregular spherical Bessel function of zeroth order, y_0(x) = -\cos(x)/x.
+ These routines compute the irregular spherical Bessel function of zeroth order, y_0(x) = -\cos(x)/x.
=back
@@ -784,7 +789,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_Y1($x)>
--These routines compute the irregular spherical Bessel function of first order, y_1(x) = -(\cos(x)/x + \sin(x))/x.
+These routines compute the irregular spherical Bessel function of first order, y_1(x) = -(\cos(x)/x + \sin(x))/x.
=back
@@ -794,7 +799,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_Yn($n, $x)>
--These routines compute the irregular cylindrical Bessel function of order $n, Y_n(x), for x>0.
+These routines compute the irregular cylindrical Bessel function of order $n, Y_n(x), for x>0.
=back
@@ -802,7 +807,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_Yn_array>
--
+
=back
@@ -812,7 +817,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_I0($x)>
--These routines compute the regular modified cylindrical Bessel function of zeroth order, I_0(x).
+These routines compute the regular modified cylindrical Bessel function of zeroth order, I_0(x).
=back
@@ -822,7 +827,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_I1($x)>
--These routines compute the regular modified cylindrical Bessel function of first order, I_1(x).
+These routines compute the regular modified cylindrical Bessel function of first order, I_1(x).
=back
@@ -832,7 +837,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_In($n, $x)>
--These routines compute the regular modified cylindrical Bessel function of order $n, I_n(x).
+These routines compute the regular modified cylindrical Bessel function of order $n, I_n(x).
=back
@@ -840,7 +845,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_In_array>
--
+
=back
@@ -850,7 +855,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_I0_scaled($x)>
--These routines compute the scaled regular modified cylindrical Bessel function of zeroth order \exp(-|x|) I_0(x).
+These routines compute the scaled regular modified cylindrical Bessel function of zeroth order \exp(-|x|) I_0(x).
=back
@@ -860,7 +865,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_I1_scaled($x)>
--These routines compute the scaled regular modified cylindrical Bessel function of first order \exp(-|x|) I_1(x).
+These routines compute the scaled regular modified cylindrical Bessel function of first order \exp(-|x|) I_1(x).
=back
@@ -870,7 +875,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_In_scaled($n, $x)>
--These routines compute the scaled regular modified cylindrical Bessel function of order $n, \exp(-|x|) I_n(x)
+These routines compute the scaled regular modified cylindrical Bessel function of order $n, \exp(-|x|) I_n(x)
=back
@@ -878,7 +883,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_In_scaled_array>
--
+
=back
@@ -888,7 +893,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_K0($x)>
--These routines compute the irregular modified cylindrical Bessel function of zeroth order, K_0(x), for x > 0.
+These routines compute the irregular modified cylindrical Bessel function of zeroth order, K_0(x), for x > 0.
=back
@@ -898,7 +903,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_K1($x)>
--These routines compute the irregular modified cylindrical Bessel function of first order, K_1(x), for x > 0.
+These routines compute the irregular modified cylindrical Bessel function of first order, K_1(x), for x > 0.
=back
@@ -908,7 +913,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_Kn($n, $x)>
--These routines compute the irregular modified cylindrical Bessel function of order $n, K_n(x), for x > 0.
+These routines compute the irregular modified cylindrical Bessel function of order $n, K_n(x), for x > 0.
=back
@@ -916,7 +921,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_Kn_array>
--
+
=back
@@ -926,7 +931,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_K0_scaled($x)>
--These routines compute the scaled irregular modified cylindrical Bessel function of zeroth order \exp(x) K_0(x) for x>0.
+These routines compute the scaled irregular modified cylindrical Bessel function of zeroth order \exp(x) K_0(x) for x>0.
=back
@@ -936,7 +941,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_K1_scaled($x)>
--
+
=back
@@ -946,7 +951,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_Kn_scaled($n, $x)>
--
+
=back
@@ -954,7 +959,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_Kn_scaled_array >
--
+
=back
@@ -964,7 +969,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_j0($x)>
--
+
=back
@@ -974,7 +979,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_j1($x)>
--
+
=back
@@ -984,7 +989,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_j2($x)>
--
+
=back
@@ -994,7 +999,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_jl($l, $x)>
--
+
=back
@@ -1002,7 +1007,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_jl_array>
--
+
=back
@@ -1010,7 +1015,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_jl_steed_array>
--
+
=back
@@ -1020,7 +1025,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_y0($x)>
--
+
=back
@@ -1030,7 +1035,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_y1($x)>
--
+
=back
@@ -1040,7 +1045,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_y2($x)>
--
+
=back
@@ -1050,7 +1055,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_yl($l, $x)>
--
+
=back
@@ -1058,7 +1063,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_yl_array>
--
+
=back
@@ -1068,7 +1073,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_i0_scaled($x)>
--
+
=back
@@ -1078,7 +1083,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_i1_scaled($x)>
--
+
=back
@@ -1088,7 +1093,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_i2_scaled($x)>
--
+
=back
@@ -1098,7 +1103,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_il_scaled($x)>
--
+
=back
@@ -1106,7 +1111,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_il_scaled_array>
--
+
=back
@@ -1116,7 +1121,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_k0_scale($x)>
--
+
=back
@@ -1126,7 +1131,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_k1_scaled($x)>
--
+
=back
@@ -1136,7 +1141,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_k2_scaled($x)>
--
+
=back
@@ -1146,7 +1151,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_kl_scaled($l, $x)>
--
+
=back
@@ -1154,7 +1159,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_kl_scaled_array>
--
+
=back
@@ -1164,7 +1169,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_Jnu($nu, $x)>
--
+
=back
@@ -1172,7 +1177,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_sequence_Jnu_e >
--
+
=back
@@ -1182,7 +1187,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_Ynu($nu, $x)>
--
+
=back
@@ -1192,7 +1197,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_Inu_scaled($nu, $x)>
--
+
=back
@@ -1202,7 +1207,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_Inu($nu, $x)>
--
+
=back
@@ -1212,7 +1217,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_Knu_scaled($nu, $x)>
--
+
=back
@@ -1222,7 +1227,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_Knu($nu, $x)>
--
+
=back
@@ -1232,7 +1237,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_lnKnu($nu, $x)>
--
+
=back
@@ -1242,7 +1247,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_zero_J0($s)>
--
+
=back
@@ -1252,7 +1257,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_zero_J1($s)>
--
+
=back
@@ -1262,7 +1267,7 @@ Here is a list of all included functions:
=item C<gsl_sf_bessel_zero_Jnu($nu, $s)>
--
+
=back
@@ -1272,7 +1277,7 @@ Here is a list of all included functions:
=item C<gsl_sf_clausen($x)>
--
+
=back
@@ -1282,7 +1287,7 @@ Here is a list of all included functions:
=item C<gsl_sf_hydrogenicR_1($Z, $r)>
--
+
=back
@@ -1292,7 +1297,7 @@ Here is a list of all included functions:
=item C<gsl_sf_hydrogenicR($n, $l, $Z, $r)>
--
+
=back
@@ -1320,7 +1325,7 @@ Here is a list of all included functions:
=item C<gsl_sf_coupling_3j($two_ja, $two_jb, $two_jc, $two_ma, $two_mb, $two_mc)>
-- These routines compute the Wigner 3-j coefficient,
+ These routines compute the Wigner 3-j coefficient,
(ja jb jc
ma mb mc)
where the arguments are given in half-integer units, ja = $two_ja/2, ma = $two_ma/2, etc.
@@ -1333,7 +1338,7 @@ Here is a list of all included functions:
=item C<gsl_sf_coupling_6j($two_ja, $two_jb, $two_jc, $two_jd, $two_je, $two_jf)>
-- These routines compute the Wigner 6-j coefficient,
+ These routines compute the Wigner 6-j coefficient,
{ja jb jc
jd je jf}
where the arguments are given in half-integer units, ja = $two_ja/2, ma = $two_ma/2, etc.
@@ -1346,7 +1351,7 @@ Here is a list of all included functions:
=item C<gsl_sf_coupling_RacahW>
--
+
=back
@@ -1356,7 +1361,7 @@ Here is a list of all included functions:
=item C<gsl_sf_coupling_9j($two_ja, $two_jb, $two_jc, $two_jd, $two_je, $two_jf, $two_jg, $two_jh, $two_ji)>
--These routines compute the Wigner 9-j coefficient,
+These routines compute the Wigner 9-j coefficient,
{ja jb jc
jd je jf
@@ -1371,7 +1376,7 @@ Here is a list of all included functions:
=item C<gsl_sf_dawson($x)>
--These routines compute the value of Dawson's integral for $x.
+These routines compute the value of Dawson's integral for $x.
=back
@@ -1381,7 +1386,7 @@ Here is a list of all included functions:
=item C<gsl_sf_debye_1($x)>
--These routines compute the first-order Debye function D_1(x) = (1/x) \int_0^x dt (t/(e^t - 1)).
+These routines compute the first-order Debye function D_1(x) = (1/x) \int_0^x dt (t/(e^t - 1)).
=back
@@ -1391,7 +1396,7 @@ Here is a list of all included functions:
=item C<gsl_sf_debye_2($x)>
--These routines compute the second-order Debye function D_2(x) = (2/x^2) \int_0^x dt (t^2/(e^t - 1)).
+These routines compute the second-order Debye function D_2(x) = (2/x^2) \int_0^x dt (t^2/(e^t - 1)).
=back
@@ -1401,7 +1406,7 @@ Here is a list of all included functions:
=item C<gsl_sf_debye_3($x)>
--These routines compute the third-order Debye function D_3(x) = (3/x^3) \int_0^x dt (t^3/(e^t - 1)).
+These routines compute the third-order Debye function D_3(x) = (3/x^3) \int_0^x dt (t^3/(e^t - 1)).
=back
@@ -1411,7 +1416,7 @@ Here is a list of all included functions:
=item C<gsl_sf_debye_4($x)>
--These routines compute the fourth-order Debye function D_4(x) = (4/x^4) \int_0^x dt (t^4/(e^t - 1)).
+These routines compute the fourth-order Debye function D_4(x) = (4/x^4) \int_0^x dt (t^4/(e^t - 1)).
=back
@@ -1421,7 +1426,7 @@ Here is a list of all included functions:
=item C<gsl_sf_debye_5($x)>
--These routines compute the fifth-order Debye function D_5(x) = (5/x^5) \int_0^x dt (t^5/(e^t - 1)).
+These routines compute the fifth-order Debye function D_5(x) = (5/x^5) \int_0^x dt (t^5/(e^t - 1)).
=back
@@ -1431,7 +1436,7 @@ Here is a list of all included functions:
=item C<gsl_sf_debye_6($x)>
--These routines compute the sixth-order Debye function D_6(x) = (6/x^6) \int_0^x dt (t^6/(e^t - 1)).
+These routines compute the sixth-order Debye function D_6(x) = (6/x^6) \int_0^x dt (t^6/(e^t - 1)).
=back
@@ -1441,7 +1446,7 @@ Here is a list of all included functions:
=item C<gsl_sf_dilog($x)>
-- These routines compute the dilogarithm for a real argument. In Lewin's notation this is Li_2(x), the real part of the dilogarithm of a real x. It is defined by the integral representation Li_2(x) = - \Re \int_0^x ds \log(1-s) / s. Note that \Im(Li_2(x)) = 0 for x <= 1, and -\pi\log(x) for x > 1. Note that Abramowitz & Stegun refer to the Spence integral S(x)=Li_2(1-x) as the dilogarithm rather than Li_2(x).
+ These routines compute the dilogarithm for a real argument. In Lewin's notation this is Li_2(x), the real part of the dilogarithm of a real x. It is defined by the integral representation Li_2(x) = - \Re \int_0^x ds \log(1-s) / s. Note that \Im(Li_2(x)) = 0 for x <= 1, and -\pi\log(x) for x > 1. Note that Abramowitz & Stegun refer to the Spence integral S(x)=Li_2(1-x) as the dilogarithm rather than Li_2(x).
=back
@@ -1463,7 +1468,7 @@ Here is a list of all included functions:
=item C<gsl_sf_multiply_err_e($x, $dx, $y, $dy, $result)> - This function multiplies $x and $y with associated absolute errors $dx and $dy. The product xy +/- xy \sqrt((dx/x)^2 +(dy/y)^2) is stored in $result.
--
+
=back
@@ -1474,7 +1479,7 @@ Here is a list of all included functions:
=item C<gsl_sf_ellint_Kcomp($k, $mode)>
--These routines compute the complete elliptic integral K($k) to the accuracy specified by the mode variable mode. Note that Abramowitz & Stegun define this function in terms of the parameter m = k^2.
+These routines compute the complete elliptic integral K($k) to the accuracy specified by the mode variable mode. Note that Abramowitz & Stegun define this function in terms of the parameter m = k^2.
=back
@@ -1484,7 +1489,7 @@ Here is a list of all included functions:
=item C<gsl_sf_ellint_Ecomp($k, $mode)>
--
+
=back
@@ -1494,7 +1499,7 @@ Here is a list of all included functions:
=item C<gsl_sf_ellint_Pcomp($k, $n, $mode)>
--
+
=back
@@ -1504,7 +1509,7 @@ Here is a list of all included functions:
=item C<gsl_sf_ellint_Dcomp >
--
+
=back
@@ -1514,7 +1519,7 @@ Here is a list of all included functions:
=item C<gsl_sf_ellint_F($phi, $k, $mode)>
--These routines compute the incomplete elliptic integral F($phi,$k) to the accuracy specified by the mode variable mode. Note that Abramowitz & Stegun define this function in terms of the parameter m = k^2.
+These routines compute the incomplete elliptic integral F($phi,$k) to the accuracy specified by the mode variable mode. Note that Abramowitz & Stegun define this function in terms of the parameter m = k^2.
=back
@@ -1524,7 +1529,7 @@ Here is a list of all included functions:
=item C<gsl_sf_ellint_E($phi, $k, $mode)>
--These routines compute the incomplete elliptic integral E($phi,$k) to the accuracy specified by the mode variable mode. Note that Abramowitz & Stegun define this function in terms of the parameter m = k^2.
+These routines compute the incomplete elliptic integral E($phi,$k) to the accuracy specified by the mode variable mode. Note that Abramowitz & Stegun define this function in terms of the parameter m = k^2.
=back
@@ -1534,7 +1539,7 @@ Here is a list of all included functions:
=item C<gsl_sf_ellint_P($phi, $k, $n, $mode)>
--These routines compute the incomplete elliptic integral \Pi(\phi,k,n) to the accuracy specified by the mode variable mode. Note that Abramowitz & Stegun define this function in terms of the parameters m = k^2 and \sin^2(\alpha) = k^2, with the change of sign n \to -n.
+These routines compute the incomplete elliptic integral \Pi(\phi,k,n) to the accuracy specified by the mode variable mode. Note that Abramowitz & Stegun define this function in terms of the parameters m = k^2 and \sin^2(\alpha) = k^2, with the change of sign n \to -n.
=back
@@ -1544,7 +1549,7 @@ Here is a list of all included functions:
=item C<gsl_sf_ellint_D($phi, $k, $n, $mode)>
--These functions compute the incomplete elliptic integral D(\phi,k) which is defined through the Carlson form RD(x,y,z) by the following relation, D(\phi,k,n) = (1/3)(\sin(\phi))^3 RD (1-\sin^2(\phi), 1-k^2 \sin^2(\phi), 1). The argument $n is not used and will be removed in a future release.
+These functions compute the incomplete elliptic integral D(\phi,k) which is defined through the Carlson form RD(x,y,z) by the following relation, D(\phi,k,n) = (1/3)(\sin(\phi))^3 RD (1-\sin^2(\phi), 1-k^2 \sin^2(\phi), 1). The argument $n is not used and will be removed in a future release.
=back
@@ -1554,7 +1559,7 @@ Here is a list of all included functions:
=item C<gsl_sf_ellint_RC($x, $y, $mode)>
-- These routines compute the incomplete elliptic integral RC($x,$y) to the accuracy specified by the mode variable $mode.
+ These routines compute the incomplete elliptic integral RC($x,$y) to the accuracy specified by the mode variable $mode.
=back
@@ -1564,7 +1569,7 @@ Here is a list of all included functions:
=item C<gsl_sf_ellint_RD($x, $y, $z, $mode)>
-- These routines compute the incomplete elliptic integral RD($x,$y,$z) to the accuracy specified by the mode variable $mode.
+ These routines compute the incomplete elliptic integral RD($x,$y,$z) to the accuracy specified by the mode variable $mode.
=back
@@ -1574,7 +1579,7 @@ Here is a list of all included functions:
=item C<gsl_sf_ellint_RF($x, $y, $z, $mode)>
-- These routines compute the incomplete elliptic integral RF($x,$y,$z) to the accuracy specified by the mode variable $mode.
+ These routines compute the incomplete elliptic integral RF($x,$y,$z) to the accuracy specified by the mode variable $mode.
=back
@@ -1584,7 +1589,7 @@ Here is a list of all included functions:
=item C<gsl_sf_ellint_RJ($x, $y, $z, $p, $mode)>
-- These routines compute the incomplete elliptic integral RJ($x,$y,$z,$p) to the accuracy specified by the mode variable $mode.
+ These routines compute the incomplete elliptic integral RJ($x,$y,$z,$p) to the accuracy specified by the mode variable $mode.
=back
@@ -1596,7 +1601,7 @@ Here is a list of all included functions:
=item C<gsl_sf_erfc($x)>
--These routines compute the complementary error function erfc(x) = 1 - erf(x) = (2/\sqrt(\pi)) \int_x^\infty \exp(-t^2).
+These routines compute the complementary error function erfc(x) = 1 - erf(x) = (2/\sqrt(\pi)) \int_x^\infty \exp(-t^2).
=back
@@ -1606,7 +1611,7 @@ Here is a list of all included functions:
=item C<gsl_sf_log_erfc($x)>
--These routines compute the logarithm of the complementary error function \log(\erfc(x)).
+These routines compute the logarithm of the complementary error function \log(\erfc(x)).
=back
@@ -1616,7 +1621,7 @@ Here is a list of all included functions:
=item C<gsl_sf_erf($x)>
--These routines compute the error function erf(x), where erf(x) = (2/\sqrt(\pi)) \int_0^x dt \exp(-t^2).
+These routines compute the error function erf(x), where erf(x) = (2/\sqrt(\pi)) \int_0^x dt \exp(-t^2).
=back
@@ -1626,7 +1631,7 @@ Here is a list of all included functions:
=item C<gsl_sf_erf_Z($x)>
--These routines compute the Gaussian probability density function Z(x) = (1/\sqrt{2\pi}) \exp(-x^2/2).
+These routines compute the Gaussian probability density function Z(x) = (1/\sqrt{2\pi}) \exp(-x^2/2).
=back
@@ -1636,7 +1641,7 @@ Here is a list of all included functions:
=item C<gsl_sf_erf_Q($x)>
-- These routines compute the upper tail of the Gaussian probability function Q(x) = (1/\sqrt{2\pi}) \int_x^\infty dt \exp(-t^2/2). The hazard function for the normal distribution, also known as the inverse Mill's ratio, is defined as, h(x) = Z(x)/Q(x) = \sqrt{2/\pi} \exp(-x^2 / 2) / \erfc(x/\sqrt 2) It decreases rapidly as x approaches -\infty and asymptotes to h(x) \sim x as x approaches +\infty.
+ These routines compute the upper tail of the Gaussian probability function Q(x) = (1/\sqrt{2\pi}) \int_x^\infty dt \exp(-t^2/2). The hazard function for the normal distribution, also known as the inverse Mill's ratio, is defined as, h(x) = Z(x)/Q(x) = \sqrt{2/\pi} \exp(-x^2 / 2) / \erfc(x/\sqrt 2) It decreases rapidly as x approaches -\infty and asymptotes to h(x) \sim x as x approaches +\infty.
=back
@@ -1646,7 +1651,7 @@ Here is a list of all included functions:
=item C<gsl_sf_hazard($x)>
-- These routines compute the hazard function for the normal distribution.
+ These routines compute the hazard function for the normal distribution.
=back
@@ -1656,7 +1661,7 @@ Here is a list of all included functions:
=item C<gsl_sf_exp($x)>
-- These routines provide an exponential function \exp(x) using GSL semantics and error checking.
+ These routines provide an exponential function \exp(x) using GSL semantics and error checking.
=back
@@ -1672,7 +1677,7 @@ Here is a list of all included functions:
=item C<gsl_sf_exp_mult>
--
+
=back
@@ -1688,7 +1693,7 @@ Here is a list of all included functions:
=item C<gsl_sf_expm1($x)>
--These routines compute the quantity \exp(x)-1 using an algorithm that is accurate for small x.
+These routines compute the quantity \exp(x)-1 using an algorithm that is accurate for small x.
=back
@@ -1698,7 +1703,7 @@ Here is a list of all included functions:
=item C<gsl_sf_exprel($x)>
--These routines compute the quantity (\exp(x)-1)/x using an algorithm that is accurate for small x. For small x the algorithm is based on the expansion (\exp(x)-1)/x = 1 + x/2 + x^2/(2*3) + x^3/(2*3*4) + \dots.
+These routines compute the quantity (\exp(x)-1)/x using an algorithm that is accurate for small x. For small x the algorithm is based on the expansion (\exp(x)-1)/x = 1 + x/2 + x^2/(2*3) + x^3/(2*3*4) + \dots.
=back
@@ -1708,7 +1713,7 @@ Here is a list of all included functions:
=item C<gsl_sf_exprel_2($x)>
--These routines compute the quantity 2(\exp(x)-1-x)/x^2 using an algorithm that is accurate for small x. For small x the algorithm is based on the expansion 2(\exp(x)-1-x)/x^2 = 1 + x/3 + x^2/(3*4) + x^3/(3*4*5) + \dots.
+These routines compute the quantity 2(\exp(x)-1-x)/x^2 using an algorithm that is accurate for small x. For small x the algorithm is based on the expansion 2(\exp(x)-1-x)/x^2 = 1 + x/3 + x^2/(3*4) + x^3/(3*4*5) + \dots.
=back
@@ -1718,7 +1723,7 @@ Here is a list of all included functions:
=item C<gsl_sf_exprel_n($x)>
--These routines compute the N-relative exponential, which is the n-th generalization of the functions gsl_sf_exprel and gsl_sf_exprel2. The N-relative exponential is given by,
+These routines compute the N-relative exponential, which is the n-th generalization of the functions gsl_sf_exprel and gsl_sf_exprel2. The N-relative exponential is given by,
exprel_N(x) = N!/x^N (\exp(x) - \sum_{k=0}^{N-1} x^k/k!)
= 1 + x/(N+1) + x^2/((N+1)(N+2)) + ...
= 1F1 (1,1+N,x)
@@ -1743,7 +1748,7 @@ Here is a list of all included functions:
=item C<gsl_sf_expint_E1($x)>
--These routines compute the exponential integral E_1(x), E_1(x) := \Re \int_1^\infty dt \exp(-xt)/t.
+These routines compute the exponential integral E_1(x), E_1(x) := \Re \int_1^\infty dt \exp(-xt)/t.
=back
@@ -1753,7 +1758,7 @@ Here is a list of all included functions:
=item C<gsl_sf_expint_E2($x)>
--These routines compute the second-order exponential integral E_2(x),
+These routines compute the second-order exponential integral E_2(x),
E_2(x) := \Re \int_1^\infty dt \exp(-xt)/t^2.
@@ -1765,7 +1770,7 @@ Here is a list of all included functions:
=item C<gsl_sf_expint_En($n, $x)>
--These routines compute the exponential integral E_n(x) of order n,
+These routines compute the exponential integral E_n(x) of order n,
E_n(x) := \Re \int_1^\infty dt \exp(-xt)/t^n.
@@ -1777,7 +1782,7 @@ Here is a list of all included functions:
=item C<gsl_sf_expint_E1_scaled>
--
+
=back
@@ -1787,7 +1792,7 @@ Here is a list of all included functions:
=item C<gsl_sf_expint_E2_scaled >
--
+
=back
@@ -1797,7 +1802,7 @@ Here is a list of all included functions:
=item C<gsl_sf_expint_En_scaled>
--
+
=back
@@ -1807,7 +1812,7 @@ Here is a list of all included functions:
=item C<gsl_sf_expint_Ei($x)>
--These routines compute the exponential integral Ei(x), Ei(x) := - PV(\int_{-x}^\infty dt \exp(-t)/t) where PV denotes the principal value of the integral.
+These routines compute the exponential integral Ei(x), Ei(x) := - PV(\int_{-x}^\infty dt \exp(-t)/t) where PV denotes the principal value of the integral.
=back
@@ -1817,7 +1822,7 @@ Here is a list of all included functions:
=item C<gsl_sf_expint_Ei_scaled >
--
+
=back
@@ -1827,7 +1832,7 @@ Here is a list of all included functions:
=item C<gsl_sf_Shi($x)>
--These routines compute the integral Shi(x) = \int_0^x dt \sinh(t)/t.
+These routines compute the integral Shi(x) = \int_0^x dt \sinh(t)/t.
=back
@@ -1837,7 +1842,7 @@ Here is a list of all included functions:
=item C<gsl_sf_Chi($x)>
--These routines compute the integral Chi(x) := \Re[ \gamma_E + \log(x) + \int_0^x dt (\cosh[t]-1)/t] , where \gamma_E is the Euler constant (available as $M_EULER from the Math::GSL::Const module).
+These routines compute the integral Chi(x) := \Re[ \gamma_E + \log(x) + \int_0^x dt (\cosh[t]-1)/t] , where \gamma_E is the Euler constant (available as $M_EULER from the Math::GSL::Const module).
=back
@@ -1847,7 +1852,7 @@ Here is a list of all included functions:
=item C<gsl_sf_expint_3($x)>
--These routines compute the third-order exponential integral Ei_3(x) = \int_0^xdt \exp(-t^3) for x >= 0.
+These routines compute the third-order exponential integral Ei_3(x) = \int_0^xdt \exp(-t^3) for x >= 0.
=back
@@ -1857,7 +1862,7 @@ Here is a list of all included functions:
=item C<gsl_sf_Si($x)>
--These routines compute the Sine integral Si(x) = \int_0^x dt \sin(t)/t.
+These routines compute the Sine integral Si(x) = \int_0^x dt \sin(t)/t.
=back
@@ -1867,7 +1872,7 @@ Here is a list of all included functions:
=item C<gsl_sf_Ci($x)>
--These routines compute the Cosine integral Ci(x) = -\int_x^\infty dt \cos(t)/t for x > 0.
+These routines compute the Cosine integral Ci(x) = -\int_x^\infty dt \cos(t)/t for x > 0.
=back
@@ -1877,7 +1882,7 @@ Here is a list of all included functions:
=item C<gsl_sf_fermi_dirac_m1($x)>
--These routines compute the complete Fermi-Dirac integral with an index of -1. This integral is given by F_{-1}(x) = e^x / (1 + e^x).
+These routines compute the complete Fermi-Dirac integral with an index of -1. This integral is given by F_{-1}(x) = e^x / (1 + e^x).
=back
@@ -1887,7 +1892,7 @@ Here is a list of all included functions:
=item C<gsl_sf_fermi_dirac_0($x)>
--These routines compute the complete Fermi-Dirac integral with an index of 0. This integral is given by F_0(x) = \ln(1 + e^x).
+These routines compute the complete Fermi-Dirac integral with an index of 0. This integral is given by F_0(x) = \ln(1 + e^x).
=back
@@ -1897,7 +1902,7 @@ Here is a list of all included functions:
=item C<gsl_sf_fermi_dirac_1($x)>
--These routines compute the complete Fermi-Dirac integral with an index of 1, F_1(x) = \int_0^\infty dt (t /(\exp(t-x)+1)).
+These routines compute the complete Fermi-Dirac integral with an index of 1, F_1(x) = \int_0^\infty dt (t /(\exp(t-x)+1)).
=back
@@ -1907,7 +1912,7 @@ Here is a list of all included functions:
=item C<gsl_sf_fermi_dirac_2($x)>
--These routines compute the complete Fermi-Dirac integral with an index of 2, F_2(x) = (1/2) \int_0^\infty dt (t^2 /(\exp(t-x)+1)).
+These routines compute the complete Fermi-Dirac integral with an index of 2, F_2(x) = (1/2) \int_0^\infty dt (t^2 /(\exp(t-x)+1)).
=back
@@ -1917,7 +1922,7 @@ Here is a list of all included functions:
=item C<gsl_sf_fermi_dirac_int($j, $x)>
--These routines compute the complete Fermi-Dirac integral with an integer index of j, F_j(x) = (1/\Gamma(j+1)) \int_0^\infty dt (t^j /(\exp(t-x)+1)).
+These routines compute the complete Fermi-Dirac integral with an integer index of j, F_j(x) = (1/\Gamma(j+1)) \int_0^\infty dt (t^j /(\exp(t-x)+1)).
=back
@@ -1927,7 +1932,7 @@ Here is a list of all included functions:
=item C<gsl_sf_fermi_dirac_mhalf($x)>
--These routines compute the complete Fermi-Dirac integral F_{-1/2}(x).
+These routines compute the complete Fermi-Dirac integral F_{-1/2}(x).
=back
@@ -1937,7 +1942,7 @@ Here is a list of all included functions:
=item C<gsl_sf_fermi_dirac_half($x)>
--These routines compute the complete Fermi-Dirac integral F_{1/2}(x).
+These routines compute the complete Fermi-Dirac integral F_{1/2}(x).
=back
@@ -1947,7 +1952,7 @@ Here is a list of all included functions:
=item C<gsl_sf_fermi_dirac_3half($x)>
--These routines compute the complete Fermi-Dirac integral F_{3/2}(x).
+These routines compute the complete Fermi-Dirac integral F_{3/2}(x).
=back
@@ -1957,7 +1962,7 @@ Here is a list of all included functions:
=item C<gsl_sf_fermi_dirac_inc_0($x, $b, $result)>
--These routines compute the incomplete Fermi-Dirac integral with an index of zero, F_0(x,b) = \ln(1 + e^{b-x}) - (b-x).
+These routines compute the incomplete Fermi-Dirac integral with an index of zero, F_0(x,b) = \ln(1 + e^{b-x}) - (b-x).
=back
@@ -1967,7 +1972,7 @@ Here is a list of all included functions:
=item C<gsl_sf_legendre_Pl($l, $x)>
--These functions evaluate the Legendre polynomial P_l(x) for a specific value of l, x subject to l >= 0, |x| <= 1
+These functions evaluate the Legendre polynomial P_l(x) for a specific value of l, x subject to l >= 0, |x| <= 1
=back
@@ -1977,7 +1982,7 @@ Here is a list of all included functions:
=item C<gsl_sf_legendre_Pl_deriv_array>
--
+
=back
@@ -1995,7 +2000,7 @@ Here is a list of all included functions:
=item C<gsl_sf_legendre_P3($x)>
--These functions evaluate the Legendre polynomials P_l(x) using explicit representations for l=1, 2, 3.
+These functions evaluate the Legendre polynomials P_l(x) using explicit representations for l=1, 2, 3.
=back
@@ -2005,7 +2010,7 @@ Here is a list of all included functions:
=item C<gsl_sf_legendre_Q0($x)>
--These routines compute the Legendre function Q_0(x) for x > -1, x != 1.
+These routines compute the Legendre function Q_0(x) for x > -1, x != 1.
=back
@@ -2015,7 +2020,7 @@ Here is a list of all included functions:
=item C<gsl_sf_legendre_Q1($x)>
--These routines compute the Legendre function Q_1(x) for x > -1, x != 1.
+These routines compute the Legendre function Q_1(x) for x > -1, x != 1.
=back
@@ -2025,7 +2030,7 @@ Here is a list of all included functions:
=item C<gsl_sf_legendre_Ql($l, $x)>
--These routines compute the Legendre function Q_l(x) for x > -1, x != 1 and l >= 0.
+These routines compute the Legendre function Q_l(x) for x > -1, x != 1 and l >= 0.
=back
@@ -2035,7 +2040,7 @@ Here is a list of all included functions:
=item C<gsl_sf_legendre_Plm($l, $m, $x)>
--These routines compute the associated Legendre polynomial P_l^m(x) for m >= 0, l >= m, |x| <= 1.
+These routines compute the associated Legendre polynomial P_l^m(x) for m >= 0, l >= m, |x| <= 1.
=back
@@ -2045,7 +2050,7 @@ Here is a list of all included functions:
=item C<gsl_sf_legendre_Plm_deriv_array >
--
+
=back
@@ -2055,7 +2060,7 @@ Here is a list of all included functions:
=item C<gsl_sf_legendre_sphPlm($l, $m, $x)>
--These routines compute the normalized associated Legendre polynomial $\sqrt{(2l+1)/(4\pi)} \sqrt{(l-m)!/(l+m)!} P_l^m(x)$ suitable for use in spherical harmonics. The parameters must satisfy m >= 0, l >= m, |x| <= 1. Theses routines avoid the overflows that occur for the standard normalization of P_l^m(x).
+These routines compute the normalized associated Legendre polynomial $\sqrt{(2l+1)/(4\pi)} \sqrt{(l-m)!/(l+m)!} P_l^m(x)$ suitable for use in spherical harmonics. The parameters must satisfy m >= 0, l >= m, |x| <= 1. Theses routines avoid the overflows that occur for the standard normalization of P_l^m(x).
=back
@@ -2065,7 +2070,7 @@ Here is a list of all included functions:
=item C<gsl_sf_legendre_sphPlm_deriv_array>
--
+
=back
@@ -2081,7 +2086,7 @@ Here is a list of all included functions:
=item C<gsl_sf_lngamma($x)>
--These routines compute the logarithm of the Gamma function, \log(\Gamma(x)), subject to x not being a negative integer or zero. For x<0 the real part of \log(\Gamma(x)) is returned, which is equivalent to \log(|\Gamma(x)|). The function is computed using the real Lanczos method.
+These routines compute the logarithm of the Gamma function, \log(\Gamma(x)), subject to x not being a negative integer or zero. For x<0 the real part of \log(\Gamma(x)) is returned, which is equivalent to \log(|\Gamma(x)|). The function is computed using the real Lanczos method.
=back
@@ -2097,7 +2102,7 @@ Here is a list of all included functions:
=item C<gsl_sf_gamma>
--
+
=back
@@ -2107,7 +2112,7 @@ Here is a list of all included functions:
=item C<gsl_sf_gammastar >
--
+
=back
@@ -2117,7 +2122,7 @@ Here is a list of all included functions:
=item C<gsl_sf_gammainv>
--
+
=back
@@ -2125,7 +2130,7 @@ Here is a list of all included functions:
=item C<gsl_sf_lngamma_complex_e >
--
+
=back
@@ -2135,7 +2140,7 @@ Here is a list of all included functions:
=item C<gsl_sf_gamma_inc_Q>
--
+
=back
@@ -2145,7 +2150,7 @@ Here is a list of all included functions:
=item C<gsl_sf_gamma_inc_P>
--
+
=back
@@ -2155,7 +2160,7 @@ Here is a list of all included functions:
=item C<gsl_sf_gamma_inc >
--
+
=back
@@ -2165,7 +2170,7 @@ Here is a list of all included functions:
=item C<gsl_sf_taylorcoeff>
--
+
=back
@@ -2175,7 +2180,7 @@ Here is a list of all included functions:
=item C<gsl_sf_fact>
--
+
=back
@@ -2185,7 +2190,7 @@ Here is a list of all included functions:
=item C<gsl_sf_doublefact >
--
+
=back
@@ -2195,7 +2200,7 @@ Here is a list of all included functions:
=item C<gsl_sf_lnfact>
--
+
=back
@@ -2205,7 +2210,7 @@ Here is a list of all included functions:
=item C<gsl_sf_lndoublefact>
--
+
=back
@@ -2215,7 +2220,7 @@ Here is a list of all included functions:
=item C<gsl_sf_lnchoose >
--
+
=back
@@ -2225,7 +2230,7 @@ Here is a list of all included functions:
=item C<gsl_sf_choose>
--
+
=back
@@ -2235,7 +2240,7 @@ Here is a list of all included functions:
=item C<gsl_sf_lnpoch>
--
+
=back
@@ -2243,7 +2248,7 @@ Here is a list of all included functions:
=item C<gsl_sf_lnpoch_sgn_e>
--
+
=back
@@ -2253,7 +2258,7 @@ Here is a list of all included functions:
=item C<gsl_sf_poch>
--
+
=back
@@ -2263,7 +2268,7 @@ Here is a list of all included functions:
=item C<gsl_sf_pochrel >
--
+
=back
@@ -2273,7 +2278,7 @@ Here is a list of all included functions:
=item C<gsl_sf_lnbeta>
--
+
=back
@@ -2281,7 +2286,7 @@ Here is a list of all included functions:
=item C<gsl_sf_lnbeta_sgn_e >
--
+
=back
@@ -2291,7 +2296,7 @@ Here is a list of all included functions:
=item C<gsl_sf_beta>
--
+
=back
@@ -2301,7 +2306,7 @@ Here is a list of all included functions:
=item C<gsl_sf_beta_inc>
--
+
=back
@@ -2319,7 +2324,7 @@ Here is a list of all included functions:
=item C<gsl_sf_gegenpoly_3>
--
+
=back
@@ -2329,7 +2334,7 @@ Here is a list of all included functions:
=item C<gsl_sf_gegenpoly_n >
--
+
=back
@@ -2341,7 +2346,7 @@ Here is a list of all included functions:
=item C<gsl_sf_hyperg_0F1 >
--
+
=back
@@ -2351,7 +2356,7 @@ Here is a list of all included functions:
=item C<gsl_sf_hyperg_1F1_int>
--
+
=back
@@ -2361,7 +2366,7 @@ Here is a list of all included functions:
=item C<gsl_sf_hyperg_1F1>
--
+
=back
@@ -2371,7 +2376,7 @@ Here is a list of all included functions:
=item C<gsl_sf_hyperg_U_int >
--
+
=back
@@ -2379,7 +2384,7 @@ Here is a list of all included functions:
=item C<gsl_sf_hyperg_U_int_e10_e>
--
+
=back
@@ -2389,7 +2394,7 @@ Here is a list of all included functions:
=item C<gsl_sf_hyperg_U >
--
+
=back
@@ -2397,7 +2402,7 @@ Here is a list of all included functions:
=item C<gsl_sf_hyperg_U_e10_e>
--
+
=back
@@ -2407,7 +2412,7 @@ Here is a list of all included functions:
=item C<gsl_sf_hyperg_2F1 >
--
+
=back
@@ -2417,7 +2422,7 @@ Here is a list of all included functions:
=item C<gsl_sf_hyperg_2F1_conj>
--
+
=back
@@ -2427,7 +2432,7 @@ Here is a list of all included functions:
=item C<gsl_sf_hyperg_2F1_renorm>
--
+
=back
@@ -2437,7 +2442,7 @@ Here is a list of all included functions:
=item C<gsl_sf_hyperg_2F1_conj_renorm >
--
+
=back
@@ -2447,7 +2452,7 @@ Here is a list of all included functions:
=item C<gsl_sf_hyperg_2F0>
--
+
=back
@@ -2465,7 +2470,7 @@ Here is a list of all included functions:
=item C<gsl_sf_laguerre_3>
--
+
=back
@@ -2475,7 +2480,7 @@ Here is a list of all included functions:
=item C<gsl_sf_laguerre_n>
--
+
=back
@@ -2485,7 +2490,7 @@ Here is a list of all included functions:
=item C<gsl_sf_lambert_W0 >
--
+
=back
@@ -2495,7 +2500,7 @@ Here is a list of all included functions:
=item C<gsl_sf_lambert_Wm1>
--
+
=back
@@ -2505,7 +2510,7 @@ Here is a list of all included functions:
=item C<gsl_sf_conicalP_half>
--
+
=back
@@ -2515,7 +2520,7 @@ Here is a list of all included functions:
=item C<gsl_sf_conicalP_mhalf >
--
+
=back
@@ -2525,7 +2530,7 @@ Here is a list of all included functions:
=item C<gsl_sf_conicalP_0>
--
+
=back
@@ -2535,7 +2540,7 @@ Here is a list of all included functions:
=item C<gsl_sf_conicalP_1>
--
+
=back
@@ -2545,7 +2550,7 @@ Here is a list of all included functions:
=item C<gsl_sf_conicalP_sph_reg >
--
+
=back
@@ -2555,7 +2560,7 @@ Here is a list of all included functions:
=item C<gsl_sf_conicalP_cyl_reg>
--
+
=back
@@ -2565,7 +2570,7 @@ Here is a list of all included functions:
=item C<gsl_sf_legendre_H3d_0>
--
+
=back
@@ -2575,7 +2580,7 @@ Here is a list of all included functions:
=item C<gsl_sf_legendre_H3d_1 >
--
+
=back
@@ -2585,7 +2590,7 @@ Here is a list of all included functions:
=item C<gsl_sf_legendre_H3d>
--
+
=back
@@ -2593,7 +2598,7 @@ Here is a list of all included functions:
=item C<gsl_sf_legendre_H3d_array >
--
+
=back
@@ -2603,7 +2608,7 @@ Here is a list of all included functions:
=item C<gsl_sf_log>
--
+
=back
@@ -2613,7 +2618,7 @@ Here is a list of all included functions:
=item C<gsl_sf_log_abs>
--
+
=back
@@ -2621,7 +2626,7 @@ Here is a list of all included functions:
=item C<gsl_sf_complex_log_e>
--
+
=back
@@ -2631,7 +2636,7 @@ Here is a list of all included functions:
=item C<gsl_sf_log_1plusx>
--
+
=back
@@ -2641,7 +2646,7 @@ Here is a list of all included functions:
=item C<gsl_sf_log_1plusx_mx >
--
+
=back
@@ -2651,7 +2656,7 @@ Here is a list of all included functions:
=item C<gsl_sf_mathieu_b_array>
--
+
=back
@@ -2661,7 +2666,7 @@ Here is a list of all included functions:
=item C<gsl_sf_mathieu_b>
--
+
=back
@@ -2671,7 +2676,7 @@ Here is a list of all included functions:
=item C<gsl_sf_mathieu_b_coeff >
--
+
=back
@@ -2679,7 +2684,7 @@ Here is a list of all included functions:
=item C<gsl_sf_mathieu_alloc>
--
+
=back
@@ -2687,7 +2692,7 @@ Here is a list of all included functions:
=item C<gsl_sf_mathieu_free>
--
+
=back
@@ -2697,7 +2702,7 @@ Here is a list of all included functions:
=item C<gsl_sf_mathieu_se>
--
+
=back
@@ -2707,7 +2712,7 @@ Here is a list of all included functions:
=item C<gsl_sf_mathieu_se_array >
--
+
=back
@@ -2717,7 +2722,7 @@ Here is a list of all included functions:
=item C<gsl_sf_mathieu_Ms>
--
+
=back
@@ -2727,7 +2732,7 @@ Here is a list of all included functions:
=item C<gsl_sf_mathieu_Ms_array>
--
+
=back
@@ -2737,7 +2742,7 @@ Here is a list of all included functions:
=item C<gsl_sf_pow_int >
--
+
=back
@@ -2747,7 +2752,7 @@ Here is a list of all included functions:
=item C<gsl_sf_psi_int>
--
+
=back
@@ -2757,7 +2762,7 @@ Here is a list of all included functions:
=item C<gsl_sf_psi>
--
+
=back
@@ -2767,7 +2772,7 @@ Here is a list of all included functions:
=item C<gsl_sf_psi_1piy >
--
+
=back
@@ -2775,7 +2780,7 @@ Here is a list of all included functions:
=item C<gsl_sf_complex_psi_e>
--
+
=back
@@ -2785,7 +2790,7 @@ Here is a list of all included functions:
=item C<gsl_sf_psi_1_int >
--
+
=back
@@ -2795,7 +2800,7 @@ Here is a list of all included functions:
=item C<gsl_sf_psi_1>
--
+
=back
@@ -2805,7 +2810,7 @@ Here is a list of all included functions:
=item C<gsl_sf_psi_n>
--
+
=back
@@ -2813,7 +2818,7 @@ Here is a list of all included functions:
=item C<gsl_sf_result_smash_e>
--
+
=back
@@ -2823,7 +2828,7 @@ Here is a list of all included functions:
=item C<gsl_sf_synchrotron_1>
--
+
=back
@@ -2833,7 +2838,7 @@ Here is a list of all included functions:
=item C<gsl_sf_synchrotron_2 >
--
+
=back
@@ -2843,7 +2848,7 @@ Here is a list of all included functions:
=item C<gsl_sf_transport_2>
--
+
=back
@@ -2853,7 +2858,7 @@ Here is a list of all included functions:
=item C<gsl_sf_transport_3>
--
+
=back
@@ -2863,7 +2868,7 @@ Here is a list of all included functions:
=item C<gsl_sf_transport_4 >
--
+
=back
@@ -2873,7 +2878,7 @@ Here is a list of all included functions:
=item C<gsl_sf_transport_5>
--
+
=back
@@ -2883,7 +2888,7 @@ Here is a list of all included functions:
=item C<gsl_sf_sin>
--
+
=back
@@ -2893,7 +2898,7 @@ Here is a list of all included functions:
=item C<gsl_sf_cos >
--
+
=back
@@ -2903,7 +2908,7 @@ Here is a list of all included functions:
=item C<gsl_sf_hypot>
--
+
=back
@@ -2911,7 +2916,7 @@ Here is a list of all included functions:
=item C<gsl_sf_complex_sin_e >
--
+
=back
@@ -2919,7 +2924,7 @@ Here is a list of all included functions:
=item C<gsl_sf_complex_cos_e>
--
+
=back
@@ -2927,7 +2932,7 @@ Here is a list of all included functions:
=item C<gsl_sf_complex_logsin_e>
--
+
=back
@@ -2937,7 +2942,7 @@ Here is a list of all included functions:
=item C<gsl_sf_sinc>
--
+
=back
@@ -2947,7 +2952,7 @@ Here is a list of all included functions:
=item C<gsl_sf_lnsinh >
--
+
=back
@@ -2957,7 +2962,7 @@ Here is a list of all included functions:
=item C<gsl_sf_lncosh>
--
+
=back
@@ -2965,7 +2970,7 @@ Here is a list of all included functions:
=item C<gsl_sf_polar_to_rect >
--
+
=back
@@ -2973,7 +2978,7 @@ Here is a list of all included functions:
=item C<gsl_sf_rect_to_polar>
--
+
=back
@@ -2983,7 +2988,7 @@ Here is a list of all included functions:
=item C<gsl_sf_cos_err_e >
--
+
=back
@@ -2993,7 +2998,7 @@ Here is a list of all included functions:
=item C<gsl_sf_angle_restrict_symm>