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.IX Title "BESSEL 3pm"
.TH BESSEL 3pm "2023-06-17" "perl v5.36.0" "User Contributed Perl Documentation"
.\" For nroff, turn off justification.  Always turn off hyphenation; it makes
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.SH "NAME"
PDL::GSLSF::BESSEL \- PDL interface to GSL Special Functions
.SH "DESCRIPTION"
.IX Header "DESCRIPTION"
This is an interface to the Special Function package present in the \s-1GNU\s0 Scientific Library.
.SH "FUNCTIONS"
.IX Header "FUNCTIONS"
.SS "gsl_sf_bessel_Jn"
.IX Subsection "gsl_sf_bessel_Jn"
.Vb 1
\&  Signature: (double x(); double [o]y(); double [o]e(); int n)
.Ve
.PP
Regular Bessel Function J_n(x).
.PP
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.
.SS "gsl_sf_bessel_Jn_array"
.IX Subsection "gsl_sf_bessel_Jn_array"
.Vb 1
\&  Signature: (double x(); double [o]y(num); int s; int n=>num)
.Ve
.PP
Array of Regular Bessel Functions J_{s}(x) to J_{s+n\-1}(x).
.PP
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.
.SS "gsl_sf_bessel_Yn"
.IX Subsection "gsl_sf_bessel_Yn"
.Vb 1
\&  Signature: (double x(); double [o]y(); double [o]e(); int n)
.Ve
.PP
IrRegular Bessel Function Y_n(x).
.PP
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.
.SS "gsl_sf_bessel_Yn_array"
.IX Subsection "gsl_sf_bessel_Yn_array"
.Vb 1
\&  Signature: (double x(); double [o]y(num); int s; int n=>num)
.Ve
.PP
Array of Regular Bessel Functions Y_{s}(x) to Y_{s+n\-1}(x).
.PP
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.
.SS "gsl_sf_bessel_In"
.IX Subsection "gsl_sf_bessel_In"
.Vb 1
\&  Signature: (double x(); double [o]y(); double [o]e(); int n)
.Ve
.PP
Regular Modified Bessel Function I_n(x).
.PP
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.
.SS "gsl_sf_bessel_I_array"
.IX Subsection "gsl_sf_bessel_I_array"
.Vb 1
\&  Signature: (double x(); double [o]y(num); int s; int n=>num)
.Ve
.PP
Array of Regular Modified Bessel Functions I_{s}(x) to I_{s+n\-1}(x).
.PP
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.
.SS "gsl_sf_bessel_In_scaled"
.IX Subsection "gsl_sf_bessel_In_scaled"
.Vb 1
\&  Signature: (double x(); double [o]y(); double [o]e(); int n)
.Ve
.PP
Scaled Regular Modified Bessel Function exp(\-|x|) I_n(x).
.PP
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.
.SS "gsl_sf_bessel_In_scaled_array"
.IX Subsection "gsl_sf_bessel_In_scaled_array"
.Vb 1
\&  Signature: (double x(); double [o]y(num); int s; int n=>num)
.Ve
.PP
Array of Scaled Regular Modified Bessel Functions exp(\-|x|) I_{s}(x) to exp(\-|x|) I_{s+n\-1}(x).
.PP
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.
.SS "gsl_sf_bessel_Kn"
.IX Subsection "gsl_sf_bessel_Kn"
.Vb 1
\&  Signature: (double x(); double [o]y(); double [o]e(); int n)
.Ve
.PP
IrRegular Modified Bessel Function K_n(x).
.PP
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.
.SS "gsl_sf_bessel_K_array"
.IX Subsection "gsl_sf_bessel_K_array"
.Vb 1
\&  Signature: (double x(); double [o]y(num); int s; int n=>num)
.Ve
.PP
Array of IrRegular Modified Bessel Functions K_{s}(x) to K_{s+n\-1}(x).
.PP
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.
.SS "gsl_sf_bessel_Kn_scaled"
.IX Subsection "gsl_sf_bessel_Kn_scaled"
.Vb 1
\&  Signature: (double x(); double [o]y(); double [o]e(); int n)
.Ve
.PP
Scaled IrRegular Modified Bessel Function exp(\-|x|) K_n(x).
.PP
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.
.SS "gsl_sf_bessel_Kn_scaled_array"
.IX Subsection "gsl_sf_bessel_Kn_scaled_array"
.Vb 1
\&  Signature: (double x(); double [o]y(num); int s; int n=>num)
.Ve
.PP
Array of Scaled IrRegular Modified Bessel Functions exp(\-|x|) K_{s}(x) to exp(\-|x|) K_{s+n\-1}(x).
.PP
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.
.SS "gsl_sf_bessel_jl"
.IX Subsection "gsl_sf_bessel_jl"
.Vb 1
\&  Signature: (double x(); double [o]y(); double [o]e(); int n)
.Ve
.PP
Regular Sphericl Bessel Function J_n(x).
.PP
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.
.SS "gsl_sf_bessel_jl_array"
.IX Subsection "gsl_sf_bessel_jl_array"
.Vb 1
\&  Signature: (double x(); double [o]y(num); int n=>num)
.Ve
.PP
Array of Spherical Regular Bessel Functions J_{0}(x) to J_{n\-1}(x).
.PP
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.
.SS "gsl_sf_bessel_yl"
.IX Subsection "gsl_sf_bessel_yl"
.Vb 1
\&  Signature: (double x(); double [o]y(); double [o]e(); int n)
.Ve
.PP
IrRegular Spherical Bessel Function y_n(x).
.PP
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.
.SS "gsl_sf_bessel_yl_array"
.IX Subsection "gsl_sf_bessel_yl_array"
.Vb 1
\&  Signature: (double x(); double [o]y(num); int n=>num)
.Ve
.PP
Array of Regular Spherical Bessel Functions y_{0}(x) to y_{n\-1}(x).
.PP
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.
.SS "gsl_sf_bessel_il_scaled"
.IX Subsection "gsl_sf_bessel_il_scaled"
.Vb 1
\&  Signature: (double x(); double [o]y(); double [o]e(); int n)
.Ve
.PP
Scaled Regular Modified Spherical Bessel Function exp(\-|x|) i_n(x).
.PP
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.
.SS "gsl_sf_bessel_il_scaled_array"
.IX Subsection "gsl_sf_bessel_il_scaled_array"
.Vb 1
\&  Signature: (double x(); double [o]y(num); int n=>num)
.Ve
.PP
Array of Scaled Regular Modified Spherical Bessel Functions exp(\-|x|) i_{0}(x) to exp(\-|x|) i_{n\-1}(x).
.PP
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.
.SS "gsl_sf_bessel_kl_scaled"
.IX Subsection "gsl_sf_bessel_kl_scaled"
.Vb 1
\&  Signature: (double x(); double [o]y(); double [o]e(); int n)
.Ve
.PP
Scaled IrRegular Modified Spherical Bessel Function exp(\-|x|) k_n(x).
.PP
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.
.SS "gsl_sf_bessel_kl_scaled_array"
.IX Subsection "gsl_sf_bessel_kl_scaled_array"
.Vb 1
\&  Signature: (double x(); double [o]y(num); int n=>num)
.Ve
.PP
Array of Scaled IrRegular Modified Spherical Bessel Functions exp(\-|x|) k_{s}(x) to exp(\-|x|) k_{s+n\-1}(x).
.PP
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.
.SS "gsl_sf_bessel_Jnu"
.IX Subsection "gsl_sf_bessel_Jnu"
.Vb 1
\&  Signature: (double x(); double [o]y(); double [o]e(); double n)
.Ve
.PP
Regular Cylindrical Bessel Function J_nu(x).
.PP
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.
.SS "gsl_sf_bessel_Ynu"
.IX Subsection "gsl_sf_bessel_Ynu"
.Vb 1
\&  Signature: (double x(); double [o]y(); double [o]e(); double n)
.Ve
.PP
IrRegular Cylindrical Bessel Function J_nu(x).
.PP
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.
.SS "gsl_sf_bessel_Inu_scaled"
.IX Subsection "gsl_sf_bessel_Inu_scaled"
.Vb 1
\&  Signature: (double x(); double [o]y(); double [o]e(); double n)
.Ve
.PP
Scaled Modified Cylindrical Bessel Function exp(\-|x|) I_nu(x).
.PP
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.
.SS "gsl_sf_bessel_Inu"
.IX Subsection "gsl_sf_bessel_Inu"
.Vb 1
\&  Signature: (double x(); double [o]y(); double [o]e(); double n)
.Ve
.PP
Modified Cylindrical Bessel Function I_nu(x).
.PP
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.
.SS "gsl_sf_bessel_Knu_scaled"
.IX Subsection "gsl_sf_bessel_Knu_scaled"
.Vb 1
\&  Signature: (double x(); double [o]y(); double [o]e(); double n)
.Ve
.PP
Scaled Modified Cylindrical Bessel Function exp(\-|x|) K_nu(x).
.PP
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.
.SS "gsl_sf_bessel_Knu"
.IX Subsection "gsl_sf_bessel_Knu"
.Vb 1
\&  Signature: (double x(); double [o]y(); double [o]e(); double n)
.Ve
.PP
Modified Cylindrical Bessel Function K_nu(x).
.PP
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.
.SS "gsl_sf_bessel_lnKnu"
.IX Subsection "gsl_sf_bessel_lnKnu"
.Vb 1
\&  Signature: (double x(); double [o]y(); double [o]e(); double n)
.Ve
.PP
Logarithm of Modified Cylindrical Bessel Function K_nu(x).
.PP
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.
.SH "AUTHOR"
.IX Header "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
\&\s-1COPYING\s0 in the \s-1PDL\s0 distribution. If this file is separated from the
\&\s-1PDL\s0 distribution, the copyright notice should be included in the file.
.PP
The \s-1GSL SF\s0 modules were written by G. Jungman.