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

Print ISSN: 0972-7752

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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