Extended Hurwitz results for hypergeometric functions arising in spectral theory

DOI10.1016/j.cam.2004.01.006zbMath1044.33002OpenAlexW2124634132MaRDI QIDQ596234

B. Malcolm Brown, Michael S. P. Eastham

Publication date: 10 August 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.01.006

zbMATH Keywords

hypergeometric functionsspectral theoryBessel functionsconfluent hypergeometric function

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items

Extensions of the Kummer evaluation of a finite hypergeometric series, A note on the Dixon formula for a finite hypergeometric series

Cites Work

• The Hurwitz theorem for Bessel functions and antibound states in spectral theory
• ANTIBOUND STATES AND EXPONENTIALLY DECAYING STURM–LIOUVILLE POTENTIALS
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