1LEGENDRE(3)           User Contributed Perl Documentation          LEGENDRE(3)
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NAME

6       PDL::GSLSF::LEGENDRE - PDL interface to GSL Special Functions
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DESCRIPTION

9       This is an interface to the Special Function package present in the GNU
10       Scientific Library.
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SYNOPSIS

Functions

FUNCTIONS

15       gsl_sf_legendre_Pl
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17         Signature: (double x(); double [o]y(); double [o]e(); int l)
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19       P_l(x)
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21       gsl_sf_legendre_Pl_array
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23         Signature: (double x(); double [o]y(num); int l=>num)
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25       P_l(x) from 0 to n-1.
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27       gsl_sf_legendre_Ql
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29         Signature: (double x(); double [o]y(); double [o]e(); int l)
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31       Q_l(x)
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33       gsl_sf_legendre_Plm
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35         Signature: (double x(); double [o]y(); double [o]e(); int l; int m)
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37       P_lm(x)
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39       gsl_sf_legendre_Plm_array
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41         Signature: (double x(); double [o]y(num); int l=>num; int m)
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43       P_lm(x) for l from 0 to n-2+m.
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45       gsl_sf_legendre_sphPlm
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47         Signature: (double x(); double [o]y(); double [o]e(); int l; int m)
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49       P_lm(x), normalized properly for use in spherical harmonics
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51       gsl_sf_legendre_sphPlm_array
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53         Signature: (double x(); double [o]y(num); int n=>num; int m)
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55       P_lm(x), normalized properly for use in spherical harmonics for l from
56       0 to n-2+m.
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58       gsl_sf_conicalP_half
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60         Signature: (double x(); double [o]y(); double [o]e(); double lambda)
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62       Irregular Spherical Conical Function P^{1/2}_{-1/2 + I lambda}(x)
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64       gsl_sf_conicalP_mhalf
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66         Signature: (double x(); double [o]y(); double [o]e(); double lambda)
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68       Regular Spherical Conical Function P^{-1/2}_{-1/2 + I lambda}(x)
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70       gsl_sf_conicalP_0
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72         Signature: (double x(); double [o]y(); double [o]e(); double lambda)
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74       Conical Function P^{0}_{-1/2 + I lambda}(x)
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76       gsl_sf_conicalP_1
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78         Signature: (double x(); double [o]y(); double [o]e(); double lambda)
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80       Conical Function P^{1}_{-1/2 + I lambda}(x)
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82       gsl_sf_conicalP_sph_reg
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84         Signature: (double x(); double [o]y(); double [o]e(); int l; double lambda)
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86       Regular Spherical Conical Function P^{-1/2-l}_{-1/2 + I lambda}(x)
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88       gsl_sf_conicalP_cyl_reg_e
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90         Signature: (double x(); double [o]y(); double [o]e(); int m; double lambda)
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92       Regular Cylindrical Conical Function P^{-m}_{-1/2 + I lambda}(x)
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94       gsl_sf_legendre_H3d
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96         Signature: (double [o]y(); double [o]e(); int l; double lambda; double eta)
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98       lth radial eigenfunction of the Laplacian on the 3-dimensional hyper‐
99       bolic space.
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101       gsl_sf_legendre_H3d_array
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103         Signature: (double [o]y(num); int l=>num; double lambda; double eta)
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105       Array of H3d(ell), for l from 0 to n-1.
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AUTHOR

108       This file copyright (C) 1999 Christian Pellegrin <chri@infis.univ.tri‐
109       este.it> All rights reserved. There is no warranty. You are allowed to
110       redistribute this software / documentation under certain conditions.
111       For details, see the file COPYING in the PDL distribution. If this file
112       is separated from the PDL distribution, the copyright notice should be
113       included in the file.
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115       The GSL SF modules were written by G. Jungman.
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119perl v5.8.8                       2006-12-02                       LEGENDRE(3)