p-adic analog of Heine’s hypergeometric q-series

Neal I. Koblitz

Vol. 102 (1982), No. 2, 373–383

DOI: 10.2140/pjm.1982.102.373

Abstract

Generalized complex analytic special functions of various types, depending on a parameter 0 < q < 1, have recently been studied by R. Askey, G. E. Andrews and others [1–3]. The purpose of this paper is to discuss a p-adic analytic construction which is analogous to the classical theory of E. Heine’s [7] q-extension of the hypergeometric function.

Mathematical Subject Classification 2000

Primary: 11S80

Secondary: 33A35, 11Q25

Milestones

Received: 5 June 1980

Published: 1 October 1982