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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