A triple product identity for Macdonald polynomials
type: Item
instance of: scholarly article
title: A triple product identity for Macdonald polynomials
zbMATH Open document ID: 0855.33010
author: Jyoichi Kaneko
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-07-08T00:00:00Z
review text: The author's main result, which is too long to reproduce here, is an expansion of the product of \(n\) elliptic \(\vartheta_3\) functions into a Laurent series involving Macdonald polynomials. Some corollaries are given, among which is an expansion of \((q; q)_\infty^{3n}\).
Mathematics Subject Classification ID: 33D05
Mathematics Subject Classification ID: 33E05
Mathematics Subject Classification ID: 05A17
Mathematics Subject Classification ID: 05A30
zbMATH DE Number: 897959
zbMATH Keywords: theta functions
zbMATH Keywords: partitions
reviewed by: Per W. Karlsson
MaRDI profile type: Publication
full work available at URL: jmaa.1996.0210
OpenAlex ID: W2057334649
DOI: 10.1006/JMAA.1996.0210
description: scientific article; zbMATH DE number 897959