A \(_1\Psi_1\) summation theorem for Macdonald polynomials
type: Item
instance of: scholarly article
title: A \(_1\Psi_1\) summation theorem for Macdonald polynomials
zbMATH Open document ID: 0916.33013
DOI: 10.1023/A:1009707201333
author: Jyoichi Kaneko
published in: The Ramanujan Journal
publication date: 1998-12-06T00:00:00Z
review text: The function introduced is an \(n\)-dimensional series whose terms involve Macdonald polynomials corresponding to partitions of length at most \(n\), and suitably generalized factorials. The definition is too long to reproduce here. So also is the main result, which is reminiscent of Ramanujan's \(_1\psi_1\) summation theorem, and the two corollaries: A \(q\)-integral formula of Selberg type, and the triple product identity for Macdonald polynomials given by the author [J. Math. Anal. Appl. 200, No. 2, 355-367 (1996; Zbl 0855.33010)].
Mathematics Subject Classification ID: 33D20
zbMATH DE Number: 1230034
reviewed by: Per W. Karlsson
MaRDI profile type: Publication
full work available at URL: a:1009707201333
OpenAlex ID: W402247134
description: scientific article; zbMATH DE number 1230034