Open Access
2014 Some transformations on the bilateral series ${}_2\psi_2$;
Zhizheng Zhang, Zeya Jia
Rocky Mountain J. Math. 44(5): 1697-1713 (2014). DOI: 10.1216/RMJ-2014-44-5-1697

Abstract

The purpose of this paper is to derive several new transformation formulas between bilateral and unilateral basic hypergeometric series. From these transformations, some $q$-series identities are obtained.

Citation

Download Citation

Zhizheng Zhang. Zeya Jia. "Some transformations on the bilateral series ${}_2\psi_2$;." Rocky Mountain J. Math. 44 (5) 1697 - 1713, 2014. https://doi.org/10.1216/RMJ-2014-44-5-1697

Information

Published: 2014
First available in Project Euclid: 1 January 2015

zbMATH: 1320.33028
MathSciNet: MR3295651
Digital Object Identifier: 10.1216/RMJ-2014-44-5-1697

Subjects:
Primary: 33D15 , 33D60

Keywords: $q$-Gauss summation , Bailey-Daum summation , Basic hypergeometric series , bilateral series , unilateral series

Rights: Copyright © 2014 Rocky Mountain Mathematics Consortium

Vol.44 • No. 5 • 2014
Back to Top