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

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 133

Volume : 15 , Issue : 2
DOI:
Author :
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)

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

A.M.S. subject classification

05A30, 33D15.

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