PDL::GSLSF::LEGENDRE - PDL interface to GSL Special Functions
This is an interface to the Special Function package present in the GNU Scientific Library.
Signature: (double x(); double [o]y(); double [o]e(); int l)
P_l(x)
Signature: (double x(); double [o]y(num); int l=>num)
P_l(x) from 0 to n-1.
Q_l(x)
Signature: (double x(); double [o]y(); double [o]e(); int l; int m)
P_lm(x)
Signature: (double x(); double [o]y(num); int l=>num; int m)
P_lm(x) for l from 0 to n-2+m.
P_lm(x), normalized properly for use in spherical harmonics
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.
Signature: (double x(); double [o]y(); double [o]e(); double lambda)
Irregular Spherical Conical Function P^{1/2}_{-1/2 + I lambda}(x)
Regular Spherical Conical Function P^{-1/2}_{-1/2 + I lambda}(x)
Conical Function P^{0}_{-1/2 + I lambda}(x)
Conical Function P^{1}_{-1/2 + I lambda}(x)
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)
Signature: (double x(); double [o]y(); double [o]e(); int m; double lambda)
Regular Cylindrical Conical Function P^{-m}_{-1/2 + I lambda}(x)
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.
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.
To install PDL, copy and paste the appropriate command in to your terminal.
cpanm
cpanm PDL
CPAN shell
perl -MCPAN -e shell install PDL
For more information on module installation, please visit the detailed CPAN module installation guide.