A code to calculate (high order) Bessel functions based on the continued fractions method

Published: 01-01-1993| Version 1 | DOI: 10.17632/9tykxm7hw3.1
Yu.L. Ratis,
P. Fernández de Córdoba


Abstract We have developed a fast code to calculate Bessel functions of integer and fractional order based on the continued fractions method. This algorithm is specially useful in the case of Bessel functions of high order because it does not require any recalculation using normalization relations. Title of program: BESSEL, SPHERICAL Catalogue Id: ACNL_v1_0 Nature of problem We include two codes in order to evaluate: a) Bessel functions of fractional order (Subroutine SPHERICAL) b) Bessel functions of integer order (Subroutine BESSEL) Versions of this program held in the CPC repository in Mendeley Data ACNL_v1_0; BESSEL, SPHERICAL; 10.1016/0010-4655(93)90062-H This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)