Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2014; 29(1): 97-108

Printed January 31, 2014

https://doi.org/10.4134/CKMS.2014.29.1.97

Copyright © The Korean Mathematical Society.

Decomposition formulae for generalized hypergeometric functions with the Gauss-Kummer identity

Naoya Hayashi and Yutaka Matsui

5-16-1, Omiya, Asahi-ku, 3-4-1, Kowakae

Abstract

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In the theory of special functions, it is important to study some formulae describing hypergeometric functions with other hypergeometric functions. In this paper, we give some methods to obtain a lot of decomposition formulae for generalized hypergeometric functions.

Keywords: generalized hypergeometric functions, Gauss-Kummer identity, decomposition formulae

MSC numbers: 33C20, 33C05, 30B10

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