Application of the residue theorem to bilateral hypergeometric series

  • Wenchang Chu Universit√† 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
Published
2007-12-06
Section
Articoli