Determinant formulas for multidimensional hypergeometric period matrices

Donald Richards, Qifu Zheng

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In this article we derive closed-form determinant formulas for certain period matrices whose entries are multidimensional integrals of hypergeometric type with integrands based on power functions. Our results are motivated by the work of Varchenko [Izv. Akad. Nauk SSSR Ser. Mat. 53 (1989) 1206-1235; Izv. Akad. Nauk SSSR Ser. Mat. 54 (1990) 146-158] and Richards and Zheng [Adv. Appl. Math. 28 (2002) 602-633] who derived closed-form expressions for determinants of matrices with entries as multidimensional integrals of rational functions.

Original languageEnglish (US)
Pages (from-to)137-151
Number of pages15
JournalAdvances in Applied Mathematics
Volume29
Issue number2
DOIs
StatePublished - Aug 2002

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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