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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15 gsl_sf_bessel_Jn
16 Signature: (double x(); double [o]y(); double [o]e(); int n)
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18 Regular Bessel Function J_n(x).
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20 gsl_sf_bessel_Jn 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.
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24 gsl_sf_bessel_J_array
25 Signature: (double x(); double [o]y(num); int s; int n=>num)
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27 Array of Regular Bessel Functions J_{s}(x) to J_{s+n-1}(x).
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29 gsl_sf_bessel_J_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.
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33 gsl_sf_bessel_Yn
34 Signature: (double x(); double [o]y(); double [o]e(); int n)
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36 IrRegular Bessel Function Y_n(x).
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38 gsl_sf_bessel_Yn 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.
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42 gsl_sf_bessel_Y_array
43 Signature: (double x(); double [o]y(num); int s; int n=>num)
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45 Array of Regular Bessel Functions Y_{s}(x) to Y_{s+n-1}(x).
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47 gsl_sf_bessel_Y_array does not process bad values. It will set the
48 bad-value flag of all output piddles if the flag is set for any of the
49 input piddles.
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51 gsl_sf_bessel_In
52 Signature: (double x(); double [o]y(); double [o]e(); int n)
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54 Regular Modified Bessel Function I_n(x).
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56 gsl_sf_bessel_In does not process bad values. It will set the bad-
57 value flag of all output piddles if the flag is set for any of the
58 input piddles.
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60 gsl_sf_bessel_I_array
61 Signature: (double x(); double [o]y(num); int s; int n=>num)
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63 Array of Regular Modified Bessel Functions I_{s}(x) to I_{s+n-1}(x).
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65 gsl_sf_bessel_I_array 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.
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69 gsl_sf_bessel_In_scaled
70 Signature: (double x(); double [o]y(); double [o]e(); int n)
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72 Scaled Regular Modified Bessel Function exp(-|x|) I_n(x).
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74 gsl_sf_bessel_In_scaled does not process bad values. It will set the
75 bad-value flag of all output piddles if the flag is set for any of the
76 input piddles.
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78 gsl_sf_bessel_I_scaled_array
79 Signature: (double x(); double [o]y(num); int s; int n=>num)
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81 Array of Scaled Regular Modified Bessel Functions exp(-|x|) I_{s}(x) to
82 exp(-|x|) I_{s+n-1}(x).
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84 gsl_sf_bessel_I_scaled_array does not process bad values. It will set
85 the bad-value flag of all output piddles if the flag is set for any of
86 the input piddles.
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88 gsl_sf_bessel_Kn
89 Signature: (double x(); double [o]y(); double [o]e(); int n)
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91 IrRegular Modified Bessel Function K_n(x).
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93 gsl_sf_bessel_Kn does not process bad values. It will set the bad-
94 value flag of all output piddles if the flag is set for any of the
95 input piddles.
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97 gsl_sf_bessel_K_array
98 Signature: (double x(); double [o]y(num); int s; int n=>num)
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100 Array of IrRegular Modified Bessel Functions K_{s}(x) to K_{s+n-1}(x).
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102 gsl_sf_bessel_K_array does not process bad values. It will set the
103 bad-value flag of all output piddles if the flag is set for any of the
104 input piddles.
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106 gsl_sf_bessel_Kn_scaled
107 Signature: (double x(); double [o]y(); double [o]e(); int n)
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109 Scaled IrRegular Modified Bessel Function exp(-|x|) K_n(x).
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111 gsl_sf_bessel_Kn_scaled does not process bad values. It will set the
112 bad-value flag of all output piddles if the flag is set for any of the
113 input piddles.
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115 gsl_sf_bessel_K_scaled_array
116 Signature: (double x(); double [o]y(num); int s; int n=>num)
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118 Array of Scaled IrRegular Modified Bessel Functions exp(-|x|) K_{s}(x)
119 to exp(-|x|) K_{s+n-1}(x).
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121 gsl_sf_bessel_K_scaled_array does not process bad values. It will set
122 the bad-value flag of all output piddles if the flag is set for any of
123 the input piddles.
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125 gsl_sf_bessel_jl
126 Signature: (double x(); double [o]y(); double [o]e(); int n)
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128 Regular Sphericl Bessel Function J_n(x).
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130 gsl_sf_bessel_jl does not process bad values. It will set the bad-
131 value flag of all output piddles if the flag is set for any of the
132 input piddles.
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134 gsl_sf_bessel_j_array
135 Signature: (double x(); double [o]y(num); int n=>num)
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137 Array of Spherical Regular Bessel Functions J_{0}(x) to J_{n-1}(x).
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139 gsl_sf_bessel_j_array does not process bad values. It will set the
140 bad-value flag of all output piddles if the flag is set for any of the
141 input piddles.
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143 gsl_sf_bessel_yl
144 Signature: (double x(); double [o]y(); double [o]e(); int n)
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146 IrRegular Spherical Bessel Function y_n(x).
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148 gsl_sf_bessel_yl does not process bad values. It will set the bad-
149 value flag of all output piddles if the flag is set for any of the
150 input piddles.
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152 gsl_sf_bessel_y_array
153 Signature: (double x(); double [o]y(num); int n=>num)
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155 Array of Regular Spherical Bessel Functions y_{0}(x) to y_{n-1}(x).
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157 gsl_sf_bessel_y_array does not process bad values. It will set the
158 bad-value flag of all output piddles if the flag is set for any of the
159 input piddles.
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161 gsl_sf_bessel_il_scaled
162 Signature: (double x(); double [o]y(); double [o]e(); int n)
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164 Scaled Regular Modified Spherical Bessel Function exp(-|x|) i_n(x).
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166 gsl_sf_bessel_il_scaled does not process bad values. It will set the
167 bad-value flag of all output piddles if the flag is set for any of the
168 input piddles.
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170 gsl_sf_bessel_i_scaled_array
171 Signature: (double x(); double [o]y(num); int n=>num)
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173 Array of Scaled Regular Modified Spherical Bessel Functions exp(-|x|)
174 i_{0}(x) to exp(-|x|) i_{n-1}(x).
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176 gsl_sf_bessel_i_scaled_array does not process bad values. It will set
177 the bad-value flag of all output piddles if the flag is set for any of
178 the input piddles.
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180 gsl_sf_bessel_kl_scaled
181 Signature: (double x(); double [o]y(); double [o]e(); int n)
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183 Scaled IrRegular Modified Spherical Bessel Function exp(-|x|) k_n(x).
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185 gsl_sf_bessel_kl_scaled does not process bad values. It will set the
186 bad-value flag of all output piddles if the flag is set for any of the
187 input piddles.
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189 gsl_sf_bessel_k_scaled_array
190 Signature: (double x(); double [o]y(num); int n=>num)
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192 Array of Scaled IrRegular Modified Spherical Bessel Functions exp(-|x|)
193 k_{s}(x) to exp(-|x|) k_{s+n-1}(x).
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195 gsl_sf_bessel_k_scaled_array does not process bad values. It will set
196 the bad-value flag of all output piddles if the flag is set for any of
197 the input piddles.
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199 gsl_sf_bessel_Jnu
200 Signature: (double x(); double [o]y(); double [o]e(); double n)
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202 Regular Cylindrical Bessel Function J_nu(x).
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204 gsl_sf_bessel_Jnu does not process bad values. It will set the bad-
205 value flag of all output piddles if the flag is set for any of the
206 input piddles.
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208 gsl_sf_bessel_Ynu
209 Signature: (double x(); double [o]y(); double [o]e(); double n)
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211 IrRegular Cylindrical Bessel Function J_nu(x).
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213 gsl_sf_bessel_Ynu does not process bad values. It will set the bad-
214 value flag of all output piddles if the flag is set for any of the
215 input piddles.
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217 gsl_sf_bessel_Inu_scaled
218 Signature: (double x(); double [o]y(); double [o]e(); double n)
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220 Scaled Modified Cylindrical Bessel Function exp(-|x|) I_nu(x).
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222 gsl_sf_bessel_Inu_scaled does not process bad values. It will set the
223 bad-value flag of all output piddles if the flag is set for any of the
224 input piddles.
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226 gsl_sf_bessel_Inu
227 Signature: (double x(); double [o]y(); double [o]e(); double n)
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229 Modified Cylindrical Bessel Function I_nu(x).
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231 gsl_sf_bessel_Inu does not process bad values. It will set the bad-
232 value flag of all output piddles if the flag is set for any of the
233 input piddles.
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235 gsl_sf_bessel_Knu_scaled
236 Signature: (double x(); double [o]y(); double [o]e(); double n)
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238 Scaled Modified Cylindrical Bessel Function exp(-|x|) K_nu(x).
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240 gsl_sf_bessel_Knu_scaled does not process bad values. It will set the
241 bad-value flag of all output piddles if the flag is set for any of the
242 input piddles.
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244 gsl_sf_bessel_Knu
245 Signature: (double x(); double [o]y(); double [o]e(); double n)
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247 Modified Cylindrical Bessel Function K_nu(x).
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249 gsl_sf_bessel_Knu does not process bad values. It will set the bad-
250 value flag of all output piddles if the flag is set for any of the
251 input piddles.
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253 gsl_sf_bessel_lnKnu
254 Signature: (double x(); double [o]y(); double [o]e(); double n)
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256 Logarithm of Modified Cylindrical Bessel Function K_nu(x).
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258 gsl_sf_bessel_lnKnu does not process bad values. It will set the bad-
259 value flag of all output piddles if the flag is set for any of the
260 input piddles.
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263 This file copyright (C) 1999 Christian Pellegrin
264 <chri@infis.univ.trieste.it> All rights reserved. There is no warranty.
265 You are allowed to redistribute this software / documentation under
266 certain conditions. For details, see the file COPYING in the PDL
267 distribution. If this file is separated from the PDL distribution, the
268 copyright notice should be included in the file.
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270 The GSL SF modules were written by G. Jungman.
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274perl v5.12.3 2011-03-31 BESSEL(3)