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A new summation formula for basic bilateral hypergeometric series by 2φ2-exponential operator technique

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In the present work by making use of q-exponential opera- tor technique of parameter augmentation, we have obtained a new sum- mation formula for 2φ2 basic bilateral hypergeometric series. We also discuss some interesting applications of our result and deduced some identities of q-gamma, q-beta functions and eta-functions.

Abstract

In the present work by making use of q-exponential opera- tor technique of parameter augmentation, we have obtained a new sum- mation formula for 2φ2 basic bilateral hypergeometric series. We also discuss some interesting applications of our result and deduced some identities of q-gamma, q-beta functions and eta-functions.

참고문헌 (33)

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