GENERALIZATION OF A TRANSFORMATION FORMULA FOUND BY BAILLON AND BRUCK

Title & Authors
GENERALIZATION OF A TRANSFORMATION FORMULA FOUND BY BAILLON AND BRUCK
Rathie, Arjun K.; Kim, Yong-Sup;

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;
Language
English
Cited by
1.
Generalization of a Quadratic Transformation Formula due to Gauss, International Journal of Mathematics and Mathematical Sciences, 2012, 2012, 1
References
1.
J.-B. Baillon and R. E. Bruck, The rate of asymptotic regularity is o($\sqrt[]{\frac{1}{n}}$), Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, Lecture Notes in Pure and Appl. Math., Dekker, New York, 178 (1996), 51-81

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