Unification of the quintuple and septuple product identities
type: Item
instance of: scholarly article
title: Unification of the quintuple and septuple product identities
zbMATH Open document ID: 1112.05011
author: Qinglun Yan
author: Wenchang Chu
published in: The Electronic Journal of Combinatorics
publication date: 2007-03-28T00:00:00Z
full work available at URL: https://eudml.org/doc/127336
full work available at URL: v14i1n7.html
review text: Summary: By combining the functional equation method with Jacobi's triple product identity, we establish a general equation with five free parameters on the modified Jacobi theta function, which can be considered as the common generalization of the quintuple, sextuple and septuple product identities. Several known theta function formulae and new identities are consequently proved.
Mathematics Subject Classification ID: 05A19
Mathematics Subject Classification ID: 05A30
Mathematics Subject Classification ID: 33D15
Mathematics Subject Classification ID: 11B65
zbMATH DE Number: 5137999
zbMATH Keywords: Jacobi's triple product identity
zbMATH Keywords: Jacobi theta function
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5137999