[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2008.23.4.607

GENERALIZATION OF A TRANSFORMATION FORMULA FOUND BY BAILLON AND BRUCK

Rathie, Arjun K. (DEPARTMENT OF MATHEMATICS VEDANT COLLEGE OF ENGINEERING AND TECHNOLOGY)
Kim, Yong-Sup (DEPARTMENT OF MATHEMATICS EDUCATION WONKWANG UNIVERSITY)

Publication Information

Communications of the Korean Mathematical Society / v.23, no.4, 2008 , pp. 607-610 More about this Journal

Abstract

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;

Citations & Related Records

Reference

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2	P. Paule, A classical hypergeometric proof of an important transformation formula found by Baillon and Bruck, Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, Lecture Notes in Pure and Appl. Math., Dekker, New York, 178 (1996), 241-242
3	E. D. Rainville, Special Functions, The Macmillan Company, New York, 1960
4	D. Zeilberger, A fast algorithm for proving terminating hypergeometric identities, Discr. Math. 80 (1990), 207-211 DOI ScienceOn