Open Access
Fall 2007 Inequalities and asymptotics for a terminating ${}\sb 4F\sb 3$ series
Mourad E. H. Ismail, Plamen Simeonov
Illinois J. Math. 51(3): 861-881 (Fall 2007). DOI: 10.1215/ijm/1258131107

Abstract

In this paper we give upper bounds for a certain terminating ${}_4F_3$ series. Our estimates confirm special cases of a conjecture of Kresch and Tamvakis. We also give asymptotic estimates when the parameters in the ${}_4F_3$ series are large, and they confirm the same conjecture.

Citation

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Mourad E. H. Ismail. Plamen Simeonov. "Inequalities and asymptotics for a terminating ${}\sb 4F\sb 3$ series." Illinois J. Math. 51 (3) 861 - 881, Fall 2007. https://doi.org/10.1215/ijm/1258131107

Information

Published: Fall 2007
First available in Project Euclid: 13 November 2009

zbMATH: 1156.33002
MathSciNet: MR2379727
Digital Object Identifier: 10.1215/ijm/1258131107

Subjects:
Primary: 33C20
Secondary: 26D15 , 30E15 , 33C45

Rights: Copyright © 2007 University of Illinois at Urbana-Champaign

Vol.51 • No. 3 • Fall 2007
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