Extended Hurwitz results for hypergeometric functions arising in spectral theory

Brown, Brian Malcolm ORCID: https://orcid.org/0000-0002-2871-6591 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:	24 Oct 2022 10:10
URI:	https://orca.cardiff.ac.uk/id/eprint/43302

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