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March 2011 Four classes of Rogers–Ramanujan identities with quintuple products
Wenchang Chu, Wenlong Zhang
Hiroshima Math. J. 41(1): 27-40 (March 2011). DOI: 10.32917/hmj/1301586288

Abstract

Combining the finite form of Jacobi’s triple product identity with the $q$-Gauss summation theorem, we present a new and unified proof for the two transformation lemmas due to Andrews (1981). The same approach is then utilized to establish two further transformations from unilateral to bilateral series. They are employed to review forty identities of Rogers–Ramanujan type with quintuple products.

Citation

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Wenchang Chu. Wenlong Zhang. "Four classes of Rogers–Ramanujan identities with quintuple products." Hiroshima Math. J. 41 (1) 27 - 40, March 2011. https://doi.org/10.32917/hmj/1301586288

Information

Published: March 2011
First available in Project Euclid: 31 March 2011

zbMATH: 1234.33029
MathSciNet: MR2809046
Digital Object Identifier: 10.32917/hmj/1301586288

Subjects:
Primary: 33D15
Secondary: 05A15

Rights: Copyright © 2011 Hiroshima University, Mathematics Program

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Vol.41 • No. 1 • March 2011
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