Another method for Padmanabham's transformation formula for Exton's triple hypergeometric series $X_8$
Commun. Korean Math. Soc. 2009 Vol. 24, No. 4, 517-521
https://doi.org/10.4134/CKMS.2009.24.4.517
Printed December 1, 2009
Yong Sup Kim, Arjun Kumar Rathie, and Junesang Choi
Wonkwang University, Vedant College of Engineering and Technology, and Dongguk University
Abstract : 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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