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

6       PDL::GSLSF::BESSEL - 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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FUNCTIONS

13   gsl_sf_bessel_Jn
14         Signature: (double x(); double [o]y(); double [o]e(); int n)
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16       Regular Bessel Function J_n(x).
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18       gsl_sf_bessel_Jn does not process bad values.  It will set the bad-
19       value flag of all output ndarrays if the flag is set for any of the
20       input ndarrays.
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22   gsl_sf_bessel_Jn_array
23         Signature: (double x(); double [o]y(num); int s; int n=>num)
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25       Array of Regular Bessel Functions J_{s}(x) to J_{s+n-1}(x).
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27       gsl_sf_bessel_Jn_array does not process bad values.  It will set the
28       bad-value flag of all output ndarrays if the flag is set for any of the
29       input ndarrays.
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31   gsl_sf_bessel_Yn
32         Signature: (double x(); double [o]y(); double [o]e(); int n)
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34       IrRegular Bessel Function Y_n(x).
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36       gsl_sf_bessel_Yn does not process bad values.  It will set the bad-
37       value flag of all output ndarrays if the flag is set for any of the
38       input ndarrays.
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40   gsl_sf_bessel_Yn_array
41         Signature: (double x(); double [o]y(num); int s; int n=>num)
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43       Array of Regular Bessel Functions Y_{s}(x) to Y_{s+n-1}(x).
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45       gsl_sf_bessel_Yn_array does not process bad values.  It will set the
46       bad-value flag of all output ndarrays if the flag is set for any of the
47       input ndarrays.
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49   gsl_sf_bessel_In
50         Signature: (double x(); double [o]y(); double [o]e(); int n)
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52       Regular Modified Bessel Function I_n(x).
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54       gsl_sf_bessel_In does not process bad values.  It will set the bad-
55       value flag of all output ndarrays if the flag is set for any of the
56       input ndarrays.
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58   gsl_sf_bessel_I_array
59         Signature: (double x(); double [o]y(num); int s; int n=>num)
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61       Array of Regular Modified Bessel Functions I_{s}(x) to I_{s+n-1}(x).
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63       gsl_sf_bessel_I_array does not process bad values.  It will set the
64       bad-value flag of all output ndarrays if the flag is set for any of the
65       input ndarrays.
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67   gsl_sf_bessel_In_scaled
68         Signature: (double x(); double [o]y(); double [o]e(); int n)
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70       Scaled Regular Modified Bessel Function exp(-|x|) I_n(x).
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72       gsl_sf_bessel_In_scaled does not process bad values.  It will set the
73       bad-value flag of all output ndarrays if the flag is set for any of the
74       input ndarrays.
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76   gsl_sf_bessel_In_scaled_array
77         Signature: (double x(); double [o]y(num); int s; int n=>num)
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79       Array of Scaled Regular Modified Bessel Functions exp(-|x|) I_{s}(x) to
80       exp(-|x|) I_{s+n-1}(x).
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82       gsl_sf_bessel_In_scaled_array does not process bad values.  It will set
83       the bad-value flag of all output ndarrays if the flag is set for any of
84       the input ndarrays.
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86   gsl_sf_bessel_Kn
87         Signature: (double x(); double [o]y(); double [o]e(); int n)
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89       IrRegular Modified Bessel Function K_n(x).
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91       gsl_sf_bessel_Kn does not process bad values.  It will set the bad-
92       value flag of all output ndarrays if the flag is set for any of the
93       input ndarrays.
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95   gsl_sf_bessel_K_array
96         Signature: (double x(); double [o]y(num); int s; int n=>num)
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98       Array of IrRegular Modified Bessel Functions K_{s}(x) to K_{s+n-1}(x).
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100       gsl_sf_bessel_K_array does not process bad values.  It will set the
101       bad-value flag of all output ndarrays if the flag is set for any of the
102       input ndarrays.
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104   gsl_sf_bessel_Kn_scaled
105         Signature: (double x(); double [o]y(); double [o]e(); int n)
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107       Scaled IrRegular Modified Bessel Function exp(-|x|) K_n(x).
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109       gsl_sf_bessel_Kn_scaled does not process bad values.  It will set the
110       bad-value flag of all output ndarrays if the flag is set for any of the
111       input ndarrays.
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113   gsl_sf_bessel_Kn_scaled_array
114         Signature: (double x(); double [o]y(num); int s; int n=>num)
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116       Array of Scaled IrRegular Modified Bessel Functions exp(-|x|) K_{s}(x)
117       to exp(-|x|) K_{s+n-1}(x).
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119       gsl_sf_bessel_Kn_scaled_array does not process bad values.  It will set
120       the bad-value flag of all output ndarrays if the flag is set for any of
121       the input ndarrays.
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123   gsl_sf_bessel_jl
124         Signature: (double x(); double [o]y(); double [o]e(); int n)
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126       Regular Sphericl Bessel Function J_n(x).
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128       gsl_sf_bessel_jl does not process bad values.  It will set the bad-
129       value flag of all output ndarrays if the flag is set for any of the
130       input ndarrays.
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132   gsl_sf_bessel_jl_array
133         Signature: (double x(); double [o]y(num); int n=>num)
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135       Array of Spherical Regular Bessel Functions J_{0}(x) to J_{n-1}(x).
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137       gsl_sf_bessel_jl_array does not process bad values.  It will set the
138       bad-value flag of all output ndarrays if the flag is set for any of the
139       input ndarrays.
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141   gsl_sf_bessel_yl
142         Signature: (double x(); double [o]y(); double [o]e(); int n)
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144       IrRegular Spherical Bessel Function y_n(x).
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146       gsl_sf_bessel_yl does not process bad values.  It will set the bad-
147       value flag of all output ndarrays if the flag is set for any of the
148       input ndarrays.
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150   gsl_sf_bessel_yl_array
151         Signature: (double x(); double [o]y(num); int n=>num)
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153       Array of Regular Spherical Bessel Functions y_{0}(x) to y_{n-1}(x).
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155       gsl_sf_bessel_yl_array does not process bad values.  It will set the
156       bad-value flag of all output ndarrays if the flag is set for any of the
157       input ndarrays.
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159   gsl_sf_bessel_il_scaled
160         Signature: (double x(); double [o]y(); double [o]e(); int n)
161
162       Scaled Regular Modified Spherical Bessel Function exp(-|x|) i_n(x).
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164       gsl_sf_bessel_il_scaled does not process bad values.  It will set the
165       bad-value flag of all output ndarrays if the flag is set for any of the
166       input ndarrays.
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168   gsl_sf_bessel_il_scaled_array
169         Signature: (double x(); double [o]y(num); int n=>num)
170
171       Array of Scaled Regular Modified Spherical Bessel Functions exp(-|x|)
172       i_{0}(x) to exp(-|x|) i_{n-1}(x).
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174       gsl_sf_bessel_il_scaled_array does not process bad values.  It will set
175       the bad-value flag of all output ndarrays if the flag is set for any of
176       the input ndarrays.
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178   gsl_sf_bessel_kl_scaled
179         Signature: (double x(); double [o]y(); double [o]e(); int n)
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181       Scaled IrRegular Modified Spherical Bessel Function exp(-|x|) k_n(x).
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183       gsl_sf_bessel_kl_scaled does not process bad values.  It will set the
184       bad-value flag of all output ndarrays if the flag is set for any of the
185       input ndarrays.
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187   gsl_sf_bessel_kl_scaled_array
188         Signature: (double x(); double [o]y(num); int n=>num)
189
190       Array of Scaled IrRegular Modified Spherical Bessel Functions exp(-|x|)
191       k_{s}(x) to exp(-|x|) k_{s+n-1}(x).
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193       gsl_sf_bessel_kl_scaled_array does not process bad values.  It will set
194       the bad-value flag of all output ndarrays if the flag is set for any of
195       the input ndarrays.
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197   gsl_sf_bessel_Jnu
198         Signature: (double x(); double [o]y(); double [o]e(); double n)
199
200       Regular Cylindrical Bessel Function J_nu(x).
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202       gsl_sf_bessel_Jnu does not process bad values.  It will set the bad-
203       value flag of all output ndarrays if the flag is set for any of the
204       input ndarrays.
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206   gsl_sf_bessel_Ynu
207         Signature: (double x(); double [o]y(); double [o]e(); double n)
208
209       IrRegular Cylindrical Bessel Function J_nu(x).
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211       gsl_sf_bessel_Ynu does not process bad values.  It will set the bad-
212       value flag of all output ndarrays if the flag is set for any of the
213       input ndarrays.
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215   gsl_sf_bessel_Inu_scaled
216         Signature: (double x(); double [o]y(); double [o]e(); double n)
217
218       Scaled Modified Cylindrical Bessel Function exp(-|x|) I_nu(x).
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220       gsl_sf_bessel_Inu_scaled does not process bad values.  It will set the
221       bad-value flag of all output ndarrays if the flag is set for any of the
222       input ndarrays.
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224   gsl_sf_bessel_Inu
225         Signature: (double x(); double [o]y(); double [o]e(); double n)
226
227       Modified Cylindrical Bessel Function I_nu(x).
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229       gsl_sf_bessel_Inu does not process bad values.  It will set the bad-
230       value flag of all output ndarrays if the flag is set for any of the
231       input ndarrays.
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233   gsl_sf_bessel_Knu_scaled
234         Signature: (double x(); double [o]y(); double [o]e(); double n)
235
236       Scaled Modified Cylindrical Bessel Function exp(-|x|) K_nu(x).
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238       gsl_sf_bessel_Knu_scaled does not process bad values.  It will set the
239       bad-value flag of all output ndarrays if the flag is set for any of the
240       input ndarrays.
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242   gsl_sf_bessel_Knu
243         Signature: (double x(); double [o]y(); double [o]e(); double n)
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245       Modified Cylindrical Bessel Function K_nu(x).
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247       gsl_sf_bessel_Knu does not process bad values.  It will set the bad-
248       value flag of all output ndarrays if the flag is set for any of the
249       input ndarrays.
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251   gsl_sf_bessel_lnKnu
252         Signature: (double x(); double [o]y(); double [o]e(); double n)
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254       Logarithm of Modified Cylindrical Bessel Function K_nu(x).
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256       gsl_sf_bessel_lnKnu does not process bad values.  It will set the bad-
257       value flag of all output ndarrays if the flag is set for any of the
258       input ndarrays.
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AUTHOR

261       This file copyright (C) 1999 Christian Pellegrin
262       <chri@infis.univ.trieste.it> All rights reserved. There is no warranty.
263       You are allowed to redistribute this software / documentation under
264       certain conditions. For details, see the file COPYING in the PDL
265       distribution. If this file is separated from the PDL distribution, the
266       copyright notice should be included in the file.
267
268       The GSL SF modules were written by G. Jungman.
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272perl v5.36.0                      2023-01-20                         BESSEL(3)