Application of the residue theorem to bilateral hypergeometric series

Application of the residue theorem to bilateral hypergeometric series

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).

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Bibliographische Detailangaben
Veröffentlicht in:Matematiche 2007-12, Vol.62 (2), p.127-146
Hauptverfasser: Wenchang Chu, Xiaoxia Wang, Deyin Zheng
Format: Artikel
Sprache:eng
Schlagworte:
Bilateral hypergeometric series
Contour integral
The residue theorem
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Zusammenfassung: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).
ISSN:0373-3505
2037-5298