Monodromy of A-hypergeometric functions

Frits Beukers*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

Using Mellin-Barnes integrals we give a method to compute elements of the monodromy group of an A-hypergeometric system of differential equations. The method works under the assumption that the A-hypergeometric system has a basis of solutions consisting of Mellin-Barnes integrals. Hopefully these elements generate the full monodromy group, but this has only been verified in some special cases.

Original languageEnglish
Pages (from-to)183-206
Number of pages24
JournalJournal fur die Reine und Angewandte Mathematik
Volume2016
Issue number718
DOIs
Publication statusPublished - 1 Sept 2016

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