# RFSFNS: A portable package for the numerical determination of the number and the calculation of roots of Bessel functions

## Description

Abstract A portable software package, named RFSFNS, is presented for the localization and computation of the simple real zeros of the Bessel functions of first and second kind, J_v (z), Y_v (z), respectively, and their derivatives, where v ≥ 0 and z > 0. This package implements the topological degree theory for the localization portion and a modified bisection method for the computation one. It localizes, isolates and computes with certainty all the desired zeros of the above functions in a predetermi... Title of program: RFSFNS Catalogue Id: ADCK_v1_0 Nature of problem Bessel functions and their zeros are encountered in many problems of Mathematical Physics, such as: the cyclic membrane vibrations, the temperature distribution in a solid cylinder or in a solid sphere, the diffraction of a plane electromagnetic wave by a conducting cylinder, the quantum billiards, etc. Versions of this program held in the CPC repository in Mendeley Data ADCK_v1_0; RFSFNS; 10.1016/0010-4655(95)00115-9 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)