Application of the residue theorem to bilateral hypergeometric series

Authors

  • Wenchang Chu Università degli Studi di Lecce
  • Xiaoxia Wang Shanghai University
  • Deyin Zheng Hangzhou Normal University

Keywords:

The residue theorem, Contour integral, Bilateral hypergeometric series

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).

Author Biographies

  • Wenchang Chu, Università degli Studi di Lecce
    Dipartimento di Matematica
    Lecce-Arnesano P. O. Box 193
    73100 Lecce, ITALIA
  • Xiaoxia Wang, Shanghai University
    Department of Mathematics
    Shanghai 200444, P. R. China
  • Deyin Zheng, Hangzhou Normal University
    Department of Mathematics
    Hangzhou 310012, P. R. China

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Published

2007-12-06

Issue

Vol. 62 No. 2 (2007)

Section

Articoli

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