Le Matematiche (Dec 2007)

Application of the residue theorem to bilateral hypergeometric series

  • Wenchang Chu,
  • Xiaoxia Wang,
  • Deyin Zheng

Journal volume & issue
Vol. 62, no. 2
pp. 127 – 146

Abstract

Read online

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