SUMMATION FORMULAS DERIVED FROM THE SRIVASTAVA'S TRIPLE HYPERGEOMETRIC SERIES H-C

Srivastava noticed the existence of three additional complete triple hypergeometric functions H-A, H-B and H-C 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 H-A and H-C. Here we are also aiming at presenting two unified summation formulas (actually, including 62 ones) for some reducible cases of Srivastava's H-C with the help of generalized Dixon's theorem and generalized Whipple's theorem on the sum of a F-3(2) obtained earlier by Lavoie et al.. Some special cases of our results are also considered.