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Domains of Convergence for A-hypergeometric Series and Integrals
Stockholm University, Faculty of Science, Department of Mathematics.
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 32019 (English)In: Journal of Siberian Federal University Mathematics and Physics, ISSN 1997-1397, Vol. 12, no 4, p. 509-529Article in journal (Refereed) Published
Abstract [en]

We prove two theorems on the domains of convergence for A-hypergeometric series and for associated Mellin-Barnes type integrals. The exact convergence domains are described in terms of amoebas and coamoebas of the corresponding principal A-determinants.

Place, publisher, year, edition, pages
2019. Vol. 12, no 4, p. 509-529
Keywords [en]
A-hypergeometric series, Mellin-Barnes integral, Gamma-integral, Principal A-determinant
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-173069DOI: 10.17516/1997-1397-2019-12-4-509-529ISI: 000483323900014OAI: oai:DiVA.org:su-173069DiVA, id: diva2:1352370
Available from: 2019-09-18 Created: 2019-09-18 Last updated: 2019-09-18Bibliographically approved

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