Open Access
2014 Carlitz inversions and identities of the Rogers-Ramanujan type
Xiaojing Chen, Wenchang Chu
Rocky Mountain J. Math. 44(4): 1125-1142 (2014). DOI: 10.1216/RMJ-2014-44-4-1125

Abstract

By means of the inverse series relations due to Carlitz \cite{carlitz}, we establish several transformation formulae for nonterminating $q$-series, which will systematically be employed to review identities of the Rogers-Ramanujan type moduli 5, 7, 8, 10, 14 and 27.

Citation

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Xiaojing Chen. Wenchang Chu. "Carlitz inversions and identities of the Rogers-Ramanujan type." Rocky Mountain J. Math. 44 (4) 1125 - 1142, 2014. https://doi.org/10.1216/RMJ-2014-44-4-1125

Information

Published: 2014
First available in Project Euclid: 31 October 2014

zbMATH: 1375.33029
MathSciNet: MR3274340
Digital Object Identifier: 10.1216/RMJ-2014-44-4-1125

Subjects:
Primary: 33D15
Secondary: 05A30

Keywords: Basic hypergeometric series , Rogers-Ramanujan identities

Rights: Copyright © 2014 Rocky Mountain Mathematics Consortium

Vol.44 • No. 4 • 2014
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