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 |
Official URL: http://dx.doi.org/10.1016/j.cam.2004.01.006
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 |
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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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