Determinant formulas for multidimensional hypergeometric period matrices
type: Item
instance of: scholarly article
title: Determinant formulas for multidimensional hypergeometric period matrices
zbMATH Open document ID: 1032.33008
DOI: 10.1016/S0196-8858(02)00013-1
author: Donald Richards
author: Qifu Zheng
published in: Advances in Applied Mathematics
publication date: 2003-03-26T00:00:00Z
review text: The authors derive closed-form expressions for the determinants of some matrices whose entries are multidimensional integrals of hypergeometric type. The formulas are proven using suitable column operations when some of the exponents occurring in the integrand are positive integers. They are then extended by analytic continuation by means of Carlson's theorem. Some interesting multidimensional integral formulas are deduced.
reviewed by: Angela Pasquale
Mathematics Subject Classification ID: 33C70
Mathematics Subject Classification ID: 15A15
zbMATH DE Number: 1888306
zbMATH Keywords: determinant formulas
zbMATH Keywords: multidimensional hypergeometric period matrices
zbMATH Keywords: Vandermonde-type determinant
zbMATH Keywords: Selberg's integral
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1888306