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BESSEL


NAME

PDL::GSLSF::BESSEL - PDL interface to GSL Special Functions


DESCRIPTION

This is an interface to the Special Function package present in the GNU Scientific Library.


SYNOPSIS


FUNCTIONS

gsl_sf_bessel_Jn

  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.

gsl_sf_bessel_J_array

  Signature: (double x(); double [o]y(num); 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.

gsl_sf_bessel_Yn

  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.

gsl_sf_bessel_Y_array

  Signature: (double x(); double [o]y(num); 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.

gsl_sf_bessel_In

  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.

gsl_sf_bessel_I_array

  Signature: (double x(); double [o]y(num); 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.

gsl_sf_bessel_In_scaled

  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.

gsl_sf_bessel_I_scaled_array

  Signature: (double x(); double [o]y(num); 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.

gsl_sf_bessel_Kn

  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.

gsl_sf_bessel_K_array

  Signature: (double x(); double [o]y(num); 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.

gsl_sf_bessel_Kn_scaled

  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.

gsl_sf_bessel_K_scaled_array

  Signature: (double x(); double [o]y(num); 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.

gsl_sf_bessel_jl

  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.

gsl_sf_bessel_j_array

  Signature: (double x(); double [o]y(num); 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.

gsl_sf_bessel_yl

  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.

gsl_sf_bessel_y_array

  Signature: (double x(); double [o]y(num); 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.

gsl_sf_bessel_il_scaled

  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.

gsl_sf_bessel_i_scaled_array

  Signature: (double x(); double [o]y(num); 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.

gsl_sf_bessel_kl_scaled

  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.

gsl_sf_bessel_k_scaled_array

  Signature: (double x(); double [o]y(num); 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.

gsl_sf_bessel_Jnu

  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.

gsl_sf_bessel_Ynu

  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.

gsl_sf_bessel_Inu_scaled

  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.

gsl_sf_bessel_Inu

  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.

gsl_sf_bessel_Knu_scaled

  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.

gsl_sf_bessel_Knu

  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.

gsl_sf_bessel_lnKnu

  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.


AUTHOR

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.