Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2008; 23(4): 607-610

Printed December 1, 2008

Copyright © The Korean Mathematical Society.

Generalization of a transformation formula found by Baillon and Bruck

Arjun K. Rathie and Yong Sup Kim

Vedant College of Engineering and Technology and Wonkwang University

Abstract

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We aim mainly at presenting a generalization of a transformation formula found by Baillon and Bruck. The result is derived with the help of the well-known quadratic transformation formula due to Gauss.

Keywords: Gauss's transformation formula, asymptotic regularity theorem, Zeilberger's algorithm, generalized hypergeometric functions

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

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