ZEBEC: A mathematical software package for computing simple zeros of Bessel functions of real order and complex argument

Abstract A reliable and portable software package, called ZEBEC (ZEros of BEssel functions Complex), is presented, which localizes and computes simple zeros of Bessel functions of the first, the second or the third kind, or their derivatives. The Bessel functions are of real order and complex argument. ZEBEC calculates with certainty the total number of zeros within a given box whose edges are parallel to the coordinate axes. Cauchy's Theorem is used for this calculation. Then the program isolates each ... Title of program: ZEBEC Catalogue Id: ADIO_v1_0 Nature of problem Bessel functions and their zeros or turning points are encountered in many porblems of mathematical physics, e.g. 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, quantum billiards, etc. Versions of this program held in the CPC repository in Mendeley Data ADIO_v1_0; ZEBEC; 10.1016/S0010-4655(98)00064-2 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)