Affiliation:
1. Stockholm University
2. Siberian Federal University
Abstract
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
Publisher
Siberian Federal University
Subject
General Physics and Astronomy,General Mathematics
Cited by
6 articles.
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1. A Survey on Computational Aspects of Polynomial Amoebas;Mathematics in Computer Science;2023-07-27
2. An Explanation of Mellin’s 1921 Paper;The Bulletin of Irkutsk State University. Series Mathematics;2023
3. Perverse schobers and GKZ systems;Advances in Mathematics;2022-06
4. Multiple Series Representations of
N
-fold Mellin-Barnes Integrals;Physical Review Letters;2021-10-05
5. Hypergeometric Functions and Feynman Diagrams;Texts & Monographs in Symbolic Computation;2021