BESSEL(3)

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.

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 ndarrays if the flag is set for any of the input ndarrays.

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

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

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

  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 ndarrays if the flag is set for any of the input ndarrays.

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

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

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

  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 ndarrays if the flag is set for any of the input ndarrays.

  gsl_sf_bessel_I_array
  Signature: (double x(); double [o]y(num); int s; IV 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 ndarrays if the flag is set for any of the input ndarrays.

  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 ndarrays if the flag is set for any of the input ndarrays.

  gsl_sf_bessel_In_scaled_array
  Signature: (double x(); double [o]y(num); int s; IV 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_In_scaled_array does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.

  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 ndarrays if the flag is set for any of the input ndarrays.

  gsl_sf_bessel_K_array
  Signature: (double x(); double [o]y(num); int s; IV 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 ndarrays if the flag is set for any of the input ndarrays.

  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 ndarrays if the flag is set for any of the input ndarrays.

  gsl_sf_bessel_Kn_scaled_array
  Signature: (double x(); double [o]y(num); int s; IV 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_Kn_scaled_array does not process bad values. It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.

  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 ndarrays if the flag is set for any of the input ndarrays.

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

  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 ndarrays if the flag is set for any of the input ndarrays.

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

  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 ndarrays if the flag is set for any of the input ndarrays.

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

  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 ndarrays if the flag is set for any of the input ndarrays.

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

  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 ndarrays if the flag is set for any of the input ndarrays.

  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 ndarrays if the flag is set for any of the input ndarrays.

  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 ndarrays if the flag is set for any of the input ndarrays.

  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 ndarrays if the flag is set for any of the input ndarrays.

  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 ndarrays if the flag is set for any of the input ndarrays.

  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 ndarrays if the flag is set for any of the input ndarrays.

  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 ndarrays if the flag is set for any of the input ndarrays.

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.