Domains of Convergence for A-hypergeometric Series and Integrals
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https://elib.sfu-kras.ru/handle/2311/112609Author:
Nilsson, Lisa
Passare, Mikael
Tsikh, August K.
Нильсон, Лиса
Пассаре, Микаэль
Цих, Август К.
Date:
2019-08Journal Name:
Журнал Сибирского федерального университета. Математика и физика. Journal of Siberian Federal University. Mathematics & Physics; 2019 12 (4)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 Доказываются две теоремы об областях сходимости для A-гипергеометрических рядов и ассоциированных с ними интегралов типа Меллина–Барнса. Точные области сходимости описаны в
терминах амеб и коамеб соответствующих главных A-детерминантов
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