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Extended Hurwitz results for hypergeometric functions arising in spectral theory

Brown, Brian Malcolm and Eastham, M. S. P. 2004. Extended Hurwitz results for hypergeometric functions arising in spectral theory. Journal of Computational and Applied Mathematics 171 (1-2) , pp. 113-121. 10.1016/j.cam.2004.01.006

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Abstract

A result of Hurwitz is that the Bessel function has no zeros for 2N<v<2N+1 with integer N. Here corresponding results for hypergeometric and confluent hypergeometric functions are given. Extensions are obtained where the power series are terminated after 2N+1 terms and larger zero-free intervals (2N,V) are found.

Item Type: Article
Date Type: Publication
Status: Published
Uncontrolled Keywords: Sturm–Liouville problems; Resonances
Publisher: Elsevier
ISSN: 0377-0427
Last Modified: 04 Jun 2017 04:42
URI: http://orca-mwe.cf.ac.uk/id/eprint/43302

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