Open Access
June 2010 Bilateral $q$-series identities and reciprocal formulae
Wenchang Chu, Wenlong Zhang
Funct. Approx. Comment. Math. 42(2): 153-162 (June 2010). DOI: 10.7169/facm/1277811638

Abstract

By splitting bilateral series into two unilateral series, we derive several reciprocal formulae from Ramanujan's $_1\psi_1$ and Bailey's $_6\psi_6$ series identities, which generalize the reciprocity theorems due to Ramanujan and Andrews (1981).

Citation

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Wenchang Chu. Wenlong Zhang. "Bilateral $q$-series identities and reciprocal formulae." Funct. Approx. Comment. Math. 42 (2) 153 - 162, June 2010. https://doi.org/10.7169/facm/1277811638

Information

Published: June 2010
First available in Project Euclid: 29 June 2010

zbMATH: 1206.33017
MathSciNet: MR2674536
Digital Object Identifier: 10.7169/facm/1277811638

Subjects:
Primary: 33D15
Secondary: 05A15

Keywords: Bailey's well-poised $_6\psi_6$-series identity , Ramanujan's $_1\psi_1$-series identity , reciprocity theorem

Rights: Copyright © 2010 Adam Mickiewicz University

Vol.42 • No. 2 • June 2010
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