Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2000; 15(4): 707-714

Printed December 1, 2000

Copyright © The Korean Mathematical Society.

A Transformation Formula Associated with The Generalized Hypergeometric Series

Keumsik Lee, Young Joon Cho, Tae Young Seo

Pusan National University, Pusan National University, Pusan National University

Abstract

The authors aim at presenting a presumably new transformation formula involving generalized hypergeometric series by making use of series rearrangement technique which is one of the most effective methods for obtaining generating functions or other identities associated with (especially) the hypergeometric series. They also consider a couple of interesting special cases of their main result.

Keywords: hypergeometric series, Srivastava and Panda's function, Whipple's transformation formula

MSC numbers: Primary 33C90; Secondary 33B15, 33C05