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Original scientific paper

Applications of a generalized form of Gauss's second theorem to the series ${}_{3}F_{2}$

Yong Sup Kim ; Department of Mathematics, Education, Wonkwang University, Iksan, Korea
Arjun K. Rathie ; Department of Mathematics, Vedant,College of Engineering and Technology,Tulsi, Dist. Bundi, Rajasthan State, India


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Abstract

The aim of this research paper is to establish generalizations of
classical Watson's theorem and Fox's theorem by employing a
generalized Gauss's second summation theorem obtained earlier by
Lavoie, Grondin and Rathie. Several interesting special cases are
also given. The results established in this research paper are
simple, interesting, easily established and may be useful.

Keywords

Generalized Gauss's second theorem; Fox's theorem; Watson's theorem

Hrčak ID:

74894

URI

https://hrcak.srce.hr/74894

Publication date:

21.12.2011.

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