A collection of routines for computing spherical and cylindrical Bessel and Hankel functions, including their derivatives. More...

#include "saf_utility_complex.h"

Functions
void	bessel_Jn (int N, double z, int nZ, double J_n, double *dJ_n)
	Computes the values of the (cylindrical) Bessel function of the first kind (Jn) and it's derivative (dJn)

void	bessel_Jn_ALL (int N, double z, int nZ, double J_n, double *dJ_n)
	Computes the (cylindrical) Bessel function of the first kind (Jn) and their derivatives (dJn) for ALL orders from 0 to N.

void	bessel_Yn (int N, double z, int nZ, double Y_n, double *dY_n)
	Computes the values of the (cylindrical) Bessel function of the second kind (Yn) and it's derivative (dYn)

void	bessel_Yn_ALL (int N, double z, int nZ, double Y_n, double *dY_n)
	Computes the (cylindrical) Bessel function of the second kind (Yn) and their derivatives (dYn) for ALL orders from 0 to N.

void	hankel_Hn1 (int N, double z, int nZ, double_complex Hn1_n, double_complex *dHn1_n)
	Computes the values of the (cylindrical) Hankel function of the first kind (Hn1) and it's derivative (dHn1)

void	hankel_Hn1_ALL (int N, double z, int nZ, double_complex Hn1_n, double_complex *dHn1_n)
	Computes the (cylindrical) Hankel function of the first kind (Hn1) and their derivatives (dHn1) for ALL orders from 0 to N.

void	hankel_Hn2 (int N, double z, int nZ, double_complex Hn2_n, double_complex *dHn2_n)
	Computes the values of the (cylindrical) Hankel function of the second kind (Hn2) and it's derivative (dHn2)

void	hankel_Hn2_ALL (int N, double z, int nZ, double_complex Hn2_n, double_complex *dHn2_n)
	Computes the (cylindrical) Hankel function of the second kind (Hn2) and their derivatives (dHn2) for ALL orders from 0 to N.

int	bessel_jn (int N, double z, int nZ, double j_n, double *dj_n)
	Computes the values of the spherical Bessel function of the first kind (jn) and it's derivative (djn)

void	bessel_jn_ALL (int N, double z, int nZ, int maxN, double j_n, double dj_n)
	Computes the spherical Bessel function of the first kind (jn) and their derivatives (djn) for ALL orders from 0 to N.

int	bessel_in (int N, double z, int nZ, double i_n, double *di_n)
	Computes the values of the modified spherical Bessel function of the first kind (in) and it's derivative (din)

void	bessel_in_ALL (int N, double z, int nZ, int maxN, double i_n, double di_n)
	Computes the modified spherical Bessel function of the first kind (in) and their derivatives (din) for ALL orders from 0 to N.

int	bessel_yn (int N, double z, int nZ, double y_n, double *dy_n)
	Computes the values of the spherical Bessel function of the second kind (yn) and it's derivative (dyn)

void	bessel_yn_ALL (int N, double z, int nZ, int maxN, double y_n, double dy_n)
	Computes the spherical Bessel function of the second kind (yn) and their derivatives (dyn) for ALL orders from 0 to N.

int	bessel_kn (int N, double z, int nZ, double k_n, double *dk_n)
	Computes the values of the modified spherical Bessel function of the second kind (kn) and it's derivative (dkn)

void	bessel_kn_ALL (int N, double z, int nZ, int maxN, double k_n, double dk_n)
	Computes the modified spherical Bessel function of the second kind (kn) and their derivatives (dkn) for ALL orders from 0 to N.

int	hankel_hn1 (int N, double z, int nZ, double_complex h_n1, double_complex *dh_n1)
	Computes the values of the spherical Hankel function of the first kind (hn1) and it's derivative (dhn1)

void	hankel_hn1_ALL (int N, double z, int nZ, int maxN, double_complex h_n1, double_complex dh_n1)
	Computes the spherical Hankel function of the first kind (hn1) and their derivatives (dhn1) for ALL orders from 0 to N.

int	hankel_hn2 (int N, double z, int nZ, double_complex h_n2, double_complex *dh_n2)
	Computes the values of the spherical Hankel function of the second kind (hn2) and it's derivative (dhn2)

void	hankel_hn2_ALL (int N, double z, int nZ, int maxN, double_complex h_n2, double_complex dh_n2)
	Computes the spherical Hankel function of the second kind (hn2) and their derivatives (dhn2) for ALL orders from 0 to N.

Detailed Description

A collection of routines for computing spherical and cylindrical Bessel and Hankel functions, including their derivatives.

Author: Leo McCormack

Date: 26.05.2020

License: ISC

Definition in file saf_utility_bessel.h.

Functions

Detailed Description