plon.1

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.TH "plon" "1" "2018-12-17" "Fortran 95" "SHTOOLS 4.5"
.hy
.SH PlON
.PP
Compute all the orthonormalized Legendre polynomials.
.SH Usage
.PP
call PlON (\f[C]p\f[R], \f[C]lmax\f[R], \f[C]z\f[R],
\f[C]exitstatus\f[R])
.SH Parameters
.TP
.B \f[C]p\f[R] : output, real*8, dimension (\f[C]lmax\f[R]+1)
An array of orthonormalized Legendre polynomials up to degree
\f[C]lmax\f[R].
Degree \f[C]l\f[R] corresponds to array index \f[C]l+1\f[R].
.TP
.B \f[C]lmax\f[R] : input, integer
The maximum degree of the Legendre polynomials to be computed.
.TP
.B \f[C]z\f[R] : input, real*8
The argument of the Legendre polynomial.
.SH Description
.PP
\f[C]PlON\f[R] will calculate all of the orthonormalized Legendre
polynomials up to degree \f[C]lmax\f[R] for a given argument.
These are calculated using a standard three-term recursion formula.
The integral of the orthonormalized normalized Legendre polynomials over
the interval [-1, 1] is 2/(4pi).
.TP
.B \f[C]exitstatus\f[R] : output, optional, integer
If present, instead of executing a STOP when an error is encountered,
the variable exitstatus will be returned describing the error.
0 = No errors; 1 = Improper dimensions of input array; 2 = Improper
bounds for input variable; 3 = Error allocating memory; 4 = File IO
error.
.SH See also
.PP
plbar, plbar_d1, plmbar, plmbar_d1, plon_d1, plmon, plmon_d1, plschmidt,
plschmidt_d1, plmschmidt, plmschmidt_d1, plegendre, plegendre_d1,
plegendrea, plegendrea_d1