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 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.2009.24.4.517Printed 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 Downloads: Full-text PDF