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GNU Scientific Library Reference Manual - Third Edition (v1.12)
by M. Galassi, J. Davies, J. Theiler, B. Gough, G. Jungman, P. Alken, M. Booth, F. Rossi
Paperback (6"x9"), 592 pages, 60 figures
ISBN 0954612078
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7.5.8 Irregular Modified Spherical Bessel Functions

The irregular modified spherical Bessel functions, denoted by k_l(x), are related to the irregular modified Bessel functions of fractional order, k_l(x) = \sqrt{\pi/(2x)} K_{l+1/2}(x).

Function: double gsl_sf_bessel_k0_scaled (double x)
Function: int gsl_sf_bessel_k0_scaled_e (double x, gsl_sf_result * result)
These routines compute the scaled irregular modified spherical Bessel function of zeroth order, \exp(x) k_0(x), for x>0.
Function: double gsl_sf_bessel_k1_scaled (double x)
Function: int gsl_sf_bessel_k1_scaled_e (double x, gsl_sf_result * result)
These routines compute the scaled irregular modified spherical Bessel function of first order, \exp(x) k_1(x), for x>0.
Function: double gsl_sf_bessel_k2_scaled (double x)
Function: int gsl_sf_bessel_k2_scaled_e (double x, gsl_sf_result * result)
These routines compute the scaled irregular modified spherical Bessel function of second order, \exp(x) k_2(x), for x>0.
Function: double gsl_sf_bessel_kl_scaled (int l, double x)
Function: int gsl_sf_bessel_kl_scaled_e (int l, double x, gsl_sf_result * result)
These routines compute the scaled irregular modified spherical Bessel function of order l, \exp(x) k_l(x), for x>0.
Function: int gsl_sf_bessel_kl_scaled_array (int lmax, double x, double result_array[])
This routine computes the values of the scaled irregular modified spherical Bessel functions \exp(x) k_l(x) for l from 0 to lmax inclusive for lmax >= 0 and x>0, storing the results in the array result_array. The values are computed using recurrence relations for efficiency, and therefore may differ slightly from the exact values.
ISBN 0954612078GNU Scientific Library Reference Manual - Third Edition (v1.12)See the print edition