Compute all the 4-pi (geodesy) normalized Legendre polynomials.
p
= PlBar (lmax
, z
)
p
: float, dimension (lmax
+1)
: An array of 4-pi (geodesy) normalized Legendre polynomials up to degree lmax
. Degree l
corresponds to array index l
.
lmax
: integer
: The maximum degree of the Legendre polynomials to be computed.
z
: float
: The argument of the Legendre polynomial.
PlBar
will calculate all of the 4-pi (geodesy) normalized Legendre polynomials up to degree lmax
for a given argument. These are calculated using a standard three-term recursion formula. The integral of the geodesy-normalized Legendre polynomials over the interval [-1, 1] is 2.
plbar_d1, plmbar, plmbar_d1, plon, plon_d1, plmon, plmon_d1, plschmidt, plschmidt_d1, plmschmidt, plmschmidt_d1, plegendre, plegendre_d1, plegendrea, plegendrea_d1