Application of the residue theorem to bilateral hypergeometric series

Wenchang Chu, Xiaoxia Wang, Deyin Zheng

Abstract


The application of the residue theorem to bilateral hypergeometric series identities is systematically reviewed by exemplifying three classes of summation theorems due to Dougall (1907), Jackson (1949, 1952) and Slater-Lakin (1953).

Keywords


The residue theorem; Contour integral; Bilateral hypergeometric series

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