1LEGENDRE(3) User Contributed Perl Documentation LEGENDRE(3)
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6 PDL::GSLSF::LEGENDRE - PDL interface to GSL Special Functions
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9 This is an interface to the Special Function package present in the GNU
10 Scientific Library.
11
15 gsl_sf_legendre_Pl
16 Signature: (double x(); double [o]y(); double [o]e(); int l)
17 P_l(x)
19 gsl_sf_legendre_Pl does not process bad values. It will set the bad-
21 value flag of all output piddles if the flag is set for any of the
22 input piddles.
23 gsl_sf_legendre_Pl_array
25 Signature: (double x(); double [o]y(num); int l=>num)
26 P_l(x) from 0 to n-1.
28 gsl_sf_legendre_Pl_array does not process bad values. It will set the
30 bad-value flag of all output piddles if the flag is set for any of the
31 input piddles.
32 gsl_sf_legendre_Ql
34 Signature: (double x(); double [o]y(); double [o]e(); int l)
35 Q_l(x)
37 gsl_sf_legendre_Ql does not process bad values. It will set the bad-
39 value flag of all output piddles if the flag is set for any of the
40 input piddles.
41 gsl_sf_legendre_Plm
43 Signature: (double x(); double [o]y(); double [o]e(); int l; int m)
44 P_lm(x)
46 gsl_sf_legendre_Plm does not process bad values. It will set the bad-
48 value flag of all output piddles if the flag is set for any of the
49 input piddles.
50 gsl_sf_legendre_Plm_array
52 Signature: (double x(); double [o]y(num); int l=>num; int m)
53 P_lm(x) for l from 0 to n-2+m.
55 gsl_sf_legendre_Plm_array does not process bad values. It will set the
57 bad-value flag of all output piddles if the flag is set for any of the
58 input piddles.
59 gsl_sf_legendre_sphPlm
61 Signature: (double x(); double [o]y(); double [o]e(); int l; int m)
62 P_lm(x), normalized properly for use in spherical harmonics
64 gsl_sf_legendre_sphPlm does not process bad values. It will set the
66 bad-value flag of all output piddles if the flag is set for any of the
67 input piddles.
68 gsl_sf_legendre_sphPlm_array
70 Signature: (double x(); double [o]y(num); int n=>num; int m)
71 P_lm(x), normalized properly for use in spherical harmonics for l from
73 0 to n-2+m.
74 gsl_sf_legendre_sphPlm_array does not process bad values. It will set
76 the bad-value flag of all output piddles if the flag is set for any of
77 the input piddles.
78 gsl_sf_conicalP_half
80 Signature: (double x(); double [o]y(); double [o]e(); double lambda)
81 Irregular Spherical Conical Function P^{1/2}_{-1/2 + I lambda}(x)
83 gsl_sf_conicalP_half does not process bad values. It will set the bad-
85 value flag of all output piddles if the flag is set for any of the
86 input piddles.
87 gsl_sf_conicalP_mhalf
89 Signature: (double x(); double [o]y(); double [o]e(); double lambda)
90 Regular Spherical Conical Function P^{-1/2}_{-1/2 + I lambda}(x)
92 gsl_sf_conicalP_mhalf does not process bad values. It will set the
94 bad-value flag of all output piddles if the flag is set for any of the
95 input piddles.
96 gsl_sf_conicalP_0
98 Signature: (double x(); double [o]y(); double [o]e(); double lambda)
99 Conical Function P^{0}_{-1/2 + I lambda}(x)
101 gsl_sf_conicalP_0 does not process bad values. It will set the bad-
103 value flag of all output piddles if the flag is set for any of the
104 input piddles.
105 gsl_sf_conicalP_1
107 Signature: (double x(); double [o]y(); double [o]e(); double lambda)
108 Conical Function P^{1}_{-1/2 + I lambda}(x)
110 gsl_sf_conicalP_1 does not process bad values. It will set the bad-
112 value flag of all output piddles if the flag is set for any of the
113 input piddles.
114 gsl_sf_conicalP_sph_reg
116 Signature: (double x(); double [o]y(); double [o]e(); int l; double lambda)
117 Regular Spherical Conical Function P^{-1/2-l}_{-1/2 + I lambda}(x)
119 gsl_sf_conicalP_sph_reg does not process bad values. It will set the
121 bad-value flag of all output piddles if the flag is set for any of the
122 input piddles.
123 gsl_sf_conicalP_cyl_reg_e
125 Signature: (double x(); double [o]y(); double [o]e(); int m; double lambda)
126 Regular Cylindrical Conical Function P^{-m}_{-1/2 + I lambda}(x)
128 gsl_sf_conicalP_cyl_reg_e does not process bad values. It will set the
130 bad-value flag of all output piddles if the flag is set for any of the
131 input piddles.
132 gsl_sf_legendre_H3d
134 Signature: (double [o]y(); double [o]e(); int l; double lambda; double eta)
135 lth radial eigenfunction of the Laplacian on the 3-dimensional
137 hyperbolic space.
138 gsl_sf_legendre_H3d does not process bad values. It will set the bad-
140 value flag of all output piddles if the flag is set for any of the
141 input piddles.
142 gsl_sf_legendre_H3d_array
144 Signature: (double [o]y(num); int l=>num; double lambda; double eta)
145 Array of H3d(ell), for l from 0 to n-1.
147 gsl_sf_legendre_H3d_array does not process bad values. It will set the
149 bad-value flag of all output piddles if the flag is set for any of the
150 input piddles.
151
153 This file copyright (C) 1999 Christian Pellegrin
154 <chri@infis.univ.trieste.it> All rights reserved. There is no warranty.
155 You are allowed to redistribute this software / documentation under
156 certain conditions. For details, see the file COPYING in the PDL
157 distribution. If this file is separated from the PDL distribution, the
158 copyright notice should be included in the file.
159 The GSL SF modules were written by G. Jungman.
161perl v5.12.3 2011-03-31 LEGENDRE(3)