Zeros of the Macdonald function of complex order

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

The z-zeros of the modified Bessel function of the third kind K_{nu}(z), also known as modified Hankel function or Macdonald function, are considered for arbitrary complex values of the order nu. Approximate expressions for the zeros, applicable in the cases of very small or very large |nu|, are given. The behaviour of the zeros for varying |nu| or arg(nu), obtained numerically, is illustrated by means of some graphics.
14 pages, 3 figures, 1 table. Added a table illustrating the numerical procedure

Keywords

Classical Analysis and ODEs, 33C10

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/141493

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607471
 http://arxiv.org/abs/math/0607471
 J. Comput. Appl. Math. 211 (2008) 223-231
 doi:10.1016/j.cam.2006.11.014

Collections

arXiv