Domains of Convergence for A-hypergeometric Series and Integrals

被引：7

作者：

Nilsson, Lisa ^{[1
]}

Passare, Mikael ^{[1
]}

Tsikh, August K. ^{[2
]}

机构：

[1] Stockholm Univ, Stockholm, Sweden

[2] Siberian Fed Univ, Inst Math & Comp Sci, Svobodny 79, Krasnoyarsk 660041, Russia

来源：

JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS | 2019年 / 12卷 / 04期

关键词：

A-hypergeometric series; Mellin-Barnes integral; Gamma-integral; Principal A-determinant; MELLIN TRANSFORMS;

D O I：

10.17516/1997-1397-2019-12-4-509-529

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：509 / 529

页数：21

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