SUMMATION FORMULAS DERIVED FROM THE SRIVASTAVA'S TRIPLE HYPERGEOMETRIC SERIES H_{C}

- Journal title : Communications of the Korean Mathematical Society
- Volume 25, Issue 2, 2010, pp.185-191
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/CKMS.2010.25.2.185

Title & Authors

SUMMATION FORMULAS DERIVED FROM THE SRIVASTAVA'S TRIPLE HYPERGEOMETRIC SERIES H_{C}

Kim, Yong-Sup; Rathie, Arjun Kumar; Choi, June-Sang;

Kim, Yong-Sup; Rathie, Arjun Kumar; Choi, June-Sang;

Abstract

Srivastava noticed the existence of three additional complete triple hypergeometric functions , and of the second order in the course of an extensive investigation of Lauricella's fourteen hypergeometric functions of three variables. In 2004, Rathie and Kim obtained four summation formulas containing a large number of very interesting reducible cases of Srivastava's triple hypergeometric series and . Here we are also aiming at presenting two unified summation formulas (actually, including 62 ones) for some reducible cases of Srivastava's with the help of generalized Dixon's theorem and generalized Whipple's theorem on the sum of a obtained earlier by Lavoie et al.. Some special cases of our results are also considered.

Keywords

triple hypergeometric series and ;Appell's function;generalized Dixon's theorem;generalized Whipple's theorem;

Language

English

References

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