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A Class of Generalized Hypergeometric Functions in Several Variables

Published online by Cambridge University Press:  20 November 2018

Zhimin Yan
Zhimin Yan*
Affiliation:
Department of Mathematics, Graduate School of City University of New York, 33 W. 42 Street, New York, New York 10036, U.S.A.
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Abstract

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We study a class of generalized hypergeometric functions in several variables introduced by A. Korânyi. It is shown that the generalized Gaussian hypergeometric function is the unique solution of a system partial differential equations. Analogues of some classical results such as Kummer relations and Euler integral representations are established. Asymptotic behavior of generalized hypergeometric functions is obtained which includes some known estimates.

Keywords

33A3033A4032A99
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 44 , Issue 6 , 01 December 1992 , pp. 1317 - 1338
Copyright
Copyright © Canadian Mathematical Society 1992

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