NOTE ON THE CLASSICAL WATSON'S THEOREM FOR THE SERIES _{3}F_{2}

- Journal title : Honam Mathematical Journal
- Volume 35, Issue 4, 2013, pp.701-706
- Publisher : The Honam Mathematical Society
- DOI : 10.5831/HMJ.2013.35.4.701

Title & Authors

NOTE ON THE CLASSICAL WATSON'S THEOREM FOR THE SERIES _{3}F_{2}

Choi, Junesang; Agarwal, P.;

Choi, Junesang; Agarwal, P.;

Abstract

Summation theorems for hypergeometric series and generalized hypergeometric series play important roles in themselves and their diverse applications. Some summation theorems for and have been established in several or many ways. Here we give a proof of Watson's classical summation theorem for the series (1) by following the same lines used by Rakha [7] except for the last step in which we applied an integral formula introduced by Choi et al. [3].

Keywords

Gamma function and its Legendre duplication formula;Gauss's hypergeometric functions ;Euler's integral formula for ;classical Watson's theorem for ;Gauss's summation theorem and second summation theorem for ;

Language

English

References

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