PDL::GSLSF::LEGENDRE - PDL interface to GSL Special Functions This is an interface to the Special Function package present in the GNU Scientific Library.

gsl_sf_legendre_Pl
Signature: (double x(); double [o]y(); double [o]e(); int l) P_l(x)

gsl_sf_legendre_Pl_array
Signature: (double x(); double [o]y(num); int l=>num) P_l(x) from 0 to n-1.

gsl_sf_legendre_Ql
Signature: (double x(); double [o]y(); double [o]e(); int l) Q_l(x)

gsl_sf_legendre_Plm
Signature: (double x(); double [o]y(); double [o]e(); int l; int m) P_lm(x)

gsl_sf_legendre_Plm_array
Signature: (double x(); double [o]y(num); int l=>num; int m) P_lm(x) for l from 0 to n-2+m.

gsl_sf_legendre_sphPlm
Signature: (double x(); double [o]y(); double [o]e(); int l; int m) P_lm(x), normalized properly for use in spherical harmonics

gsl_sf_legendre_sphPlm_array
Signature: (double x(); double [o]y(num); int n=>num; int m) P_lm(x), normalized properly for use in spherical harmonics for l from 0 to n-2+m.

gsl_sf_conicalP_half
Signature: (double x(); double [o]y(); double [o]e(); double lambda) Irregular Spherical Conical Function P^{1/2}_{-1/2 + I lambda}(x)

gsl_sf_conicalP_mhalf
Signature: (double x(); double [o]y(); double [o]e(); double lambda) Regular Spherical Conical Function P^{-1/2}_{-1/2 + I lambda}(x)

gsl_sf_conicalP_0
Signature: (double x(); double [o]y(); double [o]e(); double lambda) Conical Function P^{0}_{-1/2 + I lambda}(x)

gsl_sf_conicalP_1
Signature: (double x(); double [o]y(); double [o]e(); double lambda) Conical Function P^{1}_{-1/2 + I lambda}(x)

gsl_sf_conicalP_sph_reg
Signature: (double x(); double [o]y(); double [o]e(); int l; double lambda) Regular Spherical Conical Function P^{-1/2-l}_{-1/2 + I lambda}(x)

gsl_sf_conicalP_cyl_reg_e
Signature: (double x(); double [o]y(); double [o]e(); int m; double lambda) Regular Cylindrical Conical Function P^{-m}_{-1/2 + I lambda}(x)

gsl_sf_legendre_H3d
Signature: (double [o]y(); double [o]e(); int l; double lambda; double eta) lth radial eigenfunction of the Laplacian on the 3-dimensional hyperbolic space.

gsl_sf_legendre_H3d_array
Signature: (double [o]y(num); int l=>num; double lambda; double eta) Array of H3d(ell), for l from 0 to n-1. This file copyright (C) 1999 Christian Pellegrin <chri@infis.univ.trieste.it> All rights reserved. There is no warranty. You are allowed to redistribute this software / documentation under certain conditions. For details, see the file COPYING in the PDL distribution. If this file is separated from the PDL distribution, the copyright notice should be included in the file. The GSL SF modules were written by G. Jungman.