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

Authors

  • 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)

Keywords:

BsP-polynomial, Bailey pair, Carlitz inversion, Rogers- Ramanujan identities, partition.

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.

 

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Published

2023-06-16

Issue

Vol. 15 No. 02 (2019): South East Asian Journal of Mathematics and Mathematical Sciences

Section

Articles