Certain transformations of basic hypergeometric series and their applications

V. K. Jain

Vol. 101 (1982), No. 2, 333–349

DOI: 10.2140/pjm.1982.101.333

Abstract

We obtain identities of Rogers-Ramanujan type related to the modulus 13. We also obtain the q-analogues of the nearly-poised summation theorems and use them for obtaining q-analogues of general transformations of nearly-poised hypergeometric series. We also discuss some important applications of the transformations obtained in this note.

Mathematical Subject Classification

Primary: 33A30, 33A30

Secondary: 10J20

Milestones

Received: 6 August 1980

Published: 1 August 1982