ON FINITE FORM OF ANDREW’S IDENTITY FOR BASIS PARTITION POLYNOMIAL AND GENERALIZATION

ZhiZheng Zhang; HanFei Song

ZhiZheng Zhang Department of Mathematics, Luoyang Normal University, Luoyang, 471934, P. R. CHINA

HanFei Song College of Mathematics and Information Science, Henan Normal University, Xinxiang, 453001, P. R. CHINA

Volume 15, Issue 2 Pages 65-76 August 31, 2019 234 downloads

Article overview

Abstract

Andrews gave a common generalization of the Rogers-Ramanujan series and the generating function for basis partitions. In this paper, we obtain a finite form and further generalization of this identity. As applications, some interesting identities are given.

Keywords and Phrases

BsP-polynomialBailey pairCarlitz inversionRogers- Ramanujan identitiespartition.

AMS Subject Classification

05A30, 33D15.

Reference information

How to Cite

ZhiZheng Zhang, HanFei Song (2019). ON FINITE FORM OF ANDREW’S IDENTITY FOR BASIS PARTITION POLYNOMIAL AND GENERALIZATION. South East Asian Journal of Mathematics and Mathematical Sciences, 15(2), 65-76.

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