Determinants of Period Matrices and an Application to Selberg's Multidimensional Beta Integral

In work on critical values of linear functions and hyperplane arrangements, A. Varchenko (Izv. Akad. Nauk SSSR Ser. Mat.53 (1989), 1206–1235; 54 (1990), 146–158) defined certain period matrices whose entries are Euler-type integrals representing hypergeometric functions of several variables and deri...

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Bibliographic Details
Published in:	Advances in applied mathematics Vol. 28; no. 3-4; pp. 602 - 633
Main Authors:	Richards, Donald, Zheng, Qifu
Format:	Journal Article
Language:	English
Published:	San Diego, CA Elsevier Inc 01.04.2002 Elsevier
Subjects:	Binet–Cauchy formula Exact sciences and technology hypergeometric period matrix Mathematical analysis Mathematics Measure and integration Sciences and techniques of general use Selberg's integral Vandermonde determinant hypergeometric period matrix Binet–Cauchy formula Selberg's integral Vandermonde determinant Integration Selberg integral Matrix algebra Period matrix Binet Cauchy formula Hypergeometric function Integral
ISSN:	0196-8858, 1090-2074
Online Access:	Get full text
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