1BESSEL(3) User Contributed Perl Documentation BESSEL(3)
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6 PDL::GSLSF::BESSEL - 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.
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14 gsl_sf_bessel_Jn
15 Signature: (double x(); double [o]y(); double [o]e(); int n)
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17 Regular Bessel Function J_n(x).
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19 gsl_sf_bessel_Jn does not process bad values. It will set the bad-
20 value flag of all output piddles if the flag is set for any of the
21 input piddles.
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23 gsl_sf_bessel_J_array
24 Signature: (double x(); double [o]y(num); int s; int n=>num)
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26 Array of Regular Bessel Functions J_{s}(x) to J_{s+n-1}(x).
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28 gsl_sf_bessel_J_array does not process bad values. It will set the
29 bad-value flag of all output piddles if the flag is set for any of the
30 input piddles.
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32 gsl_sf_bessel_Yn
33 Signature: (double x(); double [o]y(); double [o]e(); int n)
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35 IrRegular Bessel Function Y_n(x).
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37 gsl_sf_bessel_Yn does not process bad values. It will set the bad-
38 value flag of all output piddles if the flag is set for any of the
39 input piddles.
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41 gsl_sf_bessel_Y_array
42 Signature: (double x(); double [o]y(num); int s; int n=>num)
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44 Array of Regular Bessel Functions Y_{s}(x) to Y_{s+n-1}(x).
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46 gsl_sf_bessel_Y_array does not process bad values. It will set the
47 bad-value flag of all output piddles if the flag is set for any of the
48 input piddles.
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50 gsl_sf_bessel_In
51 Signature: (double x(); double [o]y(); double [o]e(); int n)
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53 Regular Modified Bessel Function I_n(x).
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55 gsl_sf_bessel_In does not process bad values. It will set the bad-
56 value flag of all output piddles if the flag is set for any of the
57 input piddles.
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59 gsl_sf_bessel_I_array
60 Signature: (double x(); double [o]y(num); int s; int n=>num)
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62 Array of Regular Modified Bessel Functions I_{s}(x) to I_{s+n-1}(x).
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64 gsl_sf_bessel_I_array does not process bad values. It will set the
65 bad-value flag of all output piddles if the flag is set for any of the
66 input piddles.
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68 gsl_sf_bessel_In_scaled
69 Signature: (double x(); double [o]y(); double [o]e(); int n)
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71 Scaled Regular Modified Bessel Function exp(-|x|) I_n(x).
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73 gsl_sf_bessel_In_scaled does not process bad values. It will set the
74 bad-value flag of all output piddles if the flag is set for any of the
75 input piddles.
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77 gsl_sf_bessel_I_scaled_array
78 Signature: (double x(); double [o]y(num); int s; int n=>num)
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80 Array of Scaled Regular Modified Bessel Functions exp(-|x|) I_{s}(x) to
81 exp(-|x|) I_{s+n-1}(x).
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83 gsl_sf_bessel_I_scaled_array does not process bad values. It will set
84 the bad-value flag of all output piddles if the flag is set for any of
85 the input piddles.
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87 gsl_sf_bessel_Kn
88 Signature: (double x(); double [o]y(); double [o]e(); int n)
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90 IrRegular Modified Bessel Function K_n(x).
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92 gsl_sf_bessel_Kn does not process bad values. It will set the bad-
93 value flag of all output piddles if the flag is set for any of the
94 input piddles.
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96 gsl_sf_bessel_K_array
97 Signature: (double x(); double [o]y(num); int s; int n=>num)
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99 Array of IrRegular Modified Bessel Functions K_{s}(x) to K_{s+n-1}(x).
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101 gsl_sf_bessel_K_array does not process bad values. It will set the
102 bad-value flag of all output piddles if the flag is set for any of the
103 input piddles.
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105 gsl_sf_bessel_Kn_scaled
106 Signature: (double x(); double [o]y(); double [o]e(); int n)
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108 Scaled IrRegular Modified Bessel Function exp(-|x|) K_n(x).
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110 gsl_sf_bessel_Kn_scaled does not process bad values. It will set the
111 bad-value flag of all output piddles if the flag is set for any of the
112 input piddles.
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114 gsl_sf_bessel_K_scaled_array
115 Signature: (double x(); double [o]y(num); int s; int n=>num)
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117 Array of Scaled IrRegular Modified Bessel Functions exp(-|x|) K_{s}(x)
118 to exp(-|x|) K_{s+n-1}(x).
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120 gsl_sf_bessel_K_scaled_array does not process bad values. It will set
121 the bad-value flag of all output piddles if the flag is set for any of
122 the input piddles.
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124 gsl_sf_bessel_jl
125 Signature: (double x(); double [o]y(); double [o]e(); int n)
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127 Regular Sphericl Bessel Function J_n(x).
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129 gsl_sf_bessel_jl does not process bad values. It will set the bad-
130 value flag of all output piddles if the flag is set for any of the
131 input piddles.
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133 gsl_sf_bessel_j_array
134 Signature: (double x(); double [o]y(num); int n=>num)
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136 Array of Spherical Regular Bessel Functions J_{0}(x) to J_{n-1}(x).
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138 gsl_sf_bessel_j_array does not process bad values. It will set the
139 bad-value flag of all output piddles if the flag is set for any of the
140 input piddles.
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142 gsl_sf_bessel_yl
143 Signature: (double x(); double [o]y(); double [o]e(); int n)
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145 IrRegular Spherical Bessel Function y_n(x).
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147 gsl_sf_bessel_yl does not process bad values. It will set the bad-
148 value flag of all output piddles if the flag is set for any of the
149 input piddles.
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151 gsl_sf_bessel_y_array
152 Signature: (double x(); double [o]y(num); int n=>num)
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154 Array of Regular Spherical Bessel Functions y_{0}(x) to y_{n-1}(x).
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156 gsl_sf_bessel_y_array does not process bad values. It will set the
157 bad-value flag of all output piddles if the flag is set for any of the
158 input piddles.
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160 gsl_sf_bessel_il_scaled
161 Signature: (double x(); double [o]y(); double [o]e(); int n)
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163 Scaled Regular Modified Spherical Bessel Function exp(-|x|) i_n(x).
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165 gsl_sf_bessel_il_scaled does not process bad values. It will set the
166 bad-value flag of all output piddles if the flag is set for any of the
167 input piddles.
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169 gsl_sf_bessel_i_scaled_array
170 Signature: (double x(); double [o]y(num); int n=>num)
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172 Array of Scaled Regular Modified Spherical Bessel Functions exp(-|x|)
173 i_{0}(x) to exp(-|x|) i_{n-1}(x).
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175 gsl_sf_bessel_i_scaled_array does not process bad values. It will set
176 the bad-value flag of all output piddles if the flag is set for any of
177 the input piddles.
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179 gsl_sf_bessel_kl_scaled
180 Signature: (double x(); double [o]y(); double [o]e(); int n)
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182 Scaled IrRegular Modified Spherical Bessel Function exp(-|x|) k_n(x).
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184 gsl_sf_bessel_kl_scaled does not process bad values. It will set the
185 bad-value flag of all output piddles if the flag is set for any of the
186 input piddles.
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188 gsl_sf_bessel_k_scaled_array
189 Signature: (double x(); double [o]y(num); int n=>num)
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191 Array of Scaled IrRegular Modified Spherical Bessel Functions exp(-|x|)
192 k_{s}(x) to exp(-|x|) k_{s+n-1}(x).
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194 gsl_sf_bessel_k_scaled_array does not process bad values. It will set
195 the bad-value flag of all output piddles if the flag is set for any of
196 the input piddles.
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198 gsl_sf_bessel_Jnu
199 Signature: (double x(); double [o]y(); double [o]e(); double n)
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201 Regular Cylindrical Bessel Function J_nu(x).
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203 gsl_sf_bessel_Jnu does not process bad values. It will set the bad-
204 value flag of all output piddles if the flag is set for any of the
205 input piddles.
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207 gsl_sf_bessel_Ynu
208 Signature: (double x(); double [o]y(); double [o]e(); double n)
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210 IrRegular Cylindrical Bessel Function J_nu(x).
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212 gsl_sf_bessel_Ynu does not process bad values. It will set the bad-
213 value flag of all output piddles if the flag is set for any of the
214 input piddles.
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216 gsl_sf_bessel_Inu_scaled
217 Signature: (double x(); double [o]y(); double [o]e(); double n)
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219 Scaled Modified Cylindrical Bessel Function exp(-|x|) I_nu(x).
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221 gsl_sf_bessel_Inu_scaled does not process bad values. It will set the
222 bad-value flag of all output piddles if the flag is set for any of the
223 input piddles.
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225 gsl_sf_bessel_Inu
226 Signature: (double x(); double [o]y(); double [o]e(); double n)
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228 Modified Cylindrical Bessel Function I_nu(x).
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230 gsl_sf_bessel_Inu does not process bad values. It will set the bad-
231 value flag of all output piddles if the flag is set for any of the
232 input piddles.
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234 gsl_sf_bessel_Knu_scaled
235 Signature: (double x(); double [o]y(); double [o]e(); double n)
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237 Scaled Modified Cylindrical Bessel Function exp(-|x|) K_nu(x).
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239 gsl_sf_bessel_Knu_scaled does not process bad values. It will set the
240 bad-value flag of all output piddles if the flag is set for any of the
241 input piddles.
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243 gsl_sf_bessel_Knu
244 Signature: (double x(); double [o]y(); double [o]e(); double n)
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246 Modified Cylindrical Bessel Function K_nu(x).
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248 gsl_sf_bessel_Knu does not process bad values. It will set the bad-
249 value flag of all output piddles if the flag is set for any of the
250 input piddles.
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252 gsl_sf_bessel_lnKnu
253 Signature: (double x(); double [o]y(); double [o]e(); double n)
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255 Logarithm of Modified Cylindrical Bessel Function K_nu(x).
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257 gsl_sf_bessel_lnKnu does not process bad values. It will set the bad-
258 value flag of all output piddles if the flag is set for any of the
259 input piddles.
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262 This file copyright (C) 1999 Christian Pellegrin
263 <chri@infis.univ.trieste.it> All rights reserved. There is no warranty.
264 You are allowed to redistribute this software / documentation under
265 certain conditions. For details, see the file COPYING in the PDL
266 distribution. If this file is separated from the PDL distribution, the
267 copyright notice should be included in the file.
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269 The GSL SF modules were written by G. Jungman.
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273perl v5.32.0 2020-09-17 BESSEL(3)