On the multiple gamma-functions
type: Item
instance of: scholarly article
title: On the multiple gamma-functions
zbMATH Open document ID: 0907.33002
author: Makoto Ohtsuki
author: Koji Katayama
published in: Tokyo Journal of Mathematics
publication date: 1998-10-06T00:00:00Z
review text: The authors obtain generalizations of the Shintani type infinite product representations for the \(r\)-ple gamma functions \(\Gamma_r(w;\widetilde\omega)\) and \(r\)-ple Stirling's modular forms \(\rho_r(\widetilde\omega)\) in the sense of Barnes. As an application, ``a simple proof'' of the inversion formulas of theta-function and Dedekind \(\eta\)-function is given.
Mathematics Subject Classification ID: 33B15
zbMATH DE Number: 1207092
zbMATH Keywords: Stirling's modular forms
reviewed by: Emil Minchev
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1270041994
OpenAlex ID: W2093061972
DOI: 10.3836/TJM/1270041994
description: scientific article; zbMATH DE number 1207092