An Identity Involving Product of Generalized Hypergeometric Series 2F2
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A number of identities associated with the product of generalized hyper- geometric series have been investigated. In this paper, we aim to establish an identity involving the product of the generalized hypergeometric series 2F2. We do this using the generalized Kummer-type II transformation due to Rathie and Pogany and another identity due to Bailey. The result presented here, being general, can be reduced to a number of relatively simple identities involving the product of generalized hypergeometric series,some of which are observed to correspond to known ones.
Abstract
A number of identities associated with the product of generalized hyper- geometric series have been investigated. In this paper, we aim to establish an identity involving the product of the generalized hypergeometric series 2F2. We do this using the generalized Kummer-type II transformation due to Rathie and Pogany and another identity due to Bailey. The result presented here, being general, can be reduced to a number of relatively simple identities involving the product of generalized hypergeometric series,some of which are observed to correspond to known ones.
참고문헌 (16)
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