Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2009; 24(4): 517-521

Printed December 1, 2009

https://doi.org/10.4134/CKMS.2009.24.4.517

Copyright © The Korean Mathematical Society.

Another method for Padmanabham's transformation formula for Exton's triple hypergeometric series $X_8$

Yong Sup Kim, Arjun Kumar Rathie, and Junesang Choi

Wonkwang University, Vedant College of Engineering and Technology, and Dongguk University

Abstract

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The object of this note is to derive Padmanabham's transformation formula for Exton's triple hypergeometric series $X_8$ by using a different method from that of Padmanabham's. An interesting special case is also pointed out.

Keywords: triple hypergeometric series $X_8$, Horn functions, Laplace integral, Srivastava and Panda's function, Dixon's summation theorem for $_{3}F_{2}(1)$

MSC numbers: Primary 33C20, 33C60; Secondary 33C70, 33C65

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