Reduction Formulas for Srivastava's Triple Hypergeometric Series F(3)[x, y, z]
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Very recently the authors have obtained a very interesting reduction formula for the Srivastava's triple hypergeometric series F(3)(x, y, z) by applying the so-called Beta integral method to the Henrici's triple product formula for the hypergeometric se- ries. In this sequel, we also present three more interesting reduction formulas for the function F(3)(x, y, z) by using the well known identities due to Bailey and Ramanujan. The results established here are simple, easily derived and (potentially) useful.
Abstract
Very recently the authors have obtained a very interesting reduction formula for the Srivastava's triple hypergeometric series F(3)(x, y, z) by applying the so-called Beta integral method to the Henrici's triple product formula for the hypergeometric se- ries. In this sequel, we also present three more interesting reduction formulas for the function F(3)(x, y, z) by using the well known identities due to Bailey and Ramanujan. The results established here are simple, easily derived and (potentially) useful.
참고문헌 (18)
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