PDL::GSLSF::BESSEL - 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 n)

Regular Bessel Function J_n(x).

gsl_sf_bessel_Jn does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(n); int s; int n=>num)

Array of Regular Bessel Functions J_{s}(x) to J_{s+n-1}(x).

gsl_sf_bessel_J_array does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(); double [o]e(); int n)

IrRegular Bessel Function Y_n(x).

gsl_sf_bessel_Yn does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(n); int s; int n=>num)

Array of Regular Bessel Functions Y_{s}(x) to Y_{s+n-1}(x).

gsl_sf_bessel_Y_array does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(); double [o]e(); int n)

Regular Modified Bessel Function I_n(x).

gsl_sf_bessel_In does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(n); int s; int n=>num)

Array of Regular Modified Bessel Functions I_{s}(x) to I_{s+n-1}(x).

gsl_sf_bessel_I_array does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(); double [o]e(); int n)

Scaled Regular Modified Bessel Function exp(-|x|) I_n(x).

gsl_sf_bessel_In_scaled does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(n); int s; int n=>num)

Array of Scaled Regular Modified Bessel Functions exp(-|x|) I_{s}(x) to exp(-|x|) I_{s+n-1}(x).

gsl_sf_bessel_I_scaled_array does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(); double [o]e(); int n)

IrRegular Modified Bessel Function K_n(x).

gsl_sf_bessel_Kn does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(n); int s; int n=>num)

Array of IrRegular Modified Bessel Functions K_{s}(x) to K_{s+n-1}(x).

gsl_sf_bessel_K_array does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(); double [o]e(); int n)

Scaled IrRegular Modified Bessel Function exp(-|x|) K_n(x).

gsl_sf_bessel_Kn_scaled does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(n); int s; int n=>num)

Array of Scaled IrRegular Modified Bessel Functions exp(-|x|) K_{s}(x) to exp(-|x|) K_{s+n-1}(x).

gsl_sf_bessel_K_scaled_array does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(); double [o]e(); int n)

Regular Sphericl Bessel Function J_n(x).

gsl_sf_bessel_jl does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(n); int n=>num)

Array of Spherical Regular Bessel Functions J_{0}(x) to J_{n-1}(x).

gsl_sf_bessel_j_array does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(); double [o]e(); int n)

IrRegular Spherical Bessel Function y_n(x).

gsl_sf_bessel_yl does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(n); int n=>num)

Array of Regular Spherical Bessel Functions y_{0}(x) to y_{n-1}(x).

gsl_sf_bessel_y_array does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(); double [o]e(); int n)

Scaled Regular Modified Spherical Bessel Function exp(-|x|) i_n(x).

gsl_sf_bessel_il_scaled does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(n); int n=>num)

Array of Scaled Regular Modified Spherical Bessel Functions exp(-|x|) i_{0}(x) to exp(-|x|) i_{n-1}(x).

gsl_sf_bessel_i_scaled_array does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(); double [o]e(); int n)

Scaled IrRegular Modified Spherical Bessel Function exp(-|x|) k_n(x).

gsl_sf_bessel_kl_scaled does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(n); int n=>num)

Array of Scaled IrRegular Modified Spherical Bessel Functions exp(-|x|) k_{s}(x) to exp(-|x|) k_{s+n-1}(x).

gsl_sf_bessel_k_scaled_array does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(); double [o]e(); double n)

Regular Cylindrical Bessel Function J_nu(x).

gsl_sf_bessel_Jnu does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(); double [o]e(); double n)

IrRegular Cylindrical Bessel Function J_nu(x).

gsl_sf_bessel_Ynu does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(); double [o]e(); double n)

Scaled Modified Cylindrical Bessel Function exp(-|x|) I_nu(x).

gsl_sf_bessel_Inu_scaled does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(); double [o]e(); double n)

Modified Cylindrical Bessel Function I_nu(x).

gsl_sf_bessel_Inu does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(); double [o]e(); double n)

Scaled Modified Cylindrical Bessel Function exp(-|x|) K_nu(x).

gsl_sf_bessel_Knu_scaled does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(); double [o]e(); double n)

Modified Cylindrical Bessel Function K_nu(x).

gsl_sf_bessel_Knu does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

  Signature: (double x(); double [o]y(); double [o]e(); double n)

Logarithm of Modified Cylindrical Bessel Function K_nu(x).

gsl_sf_bessel_lnKnu does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

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.