Hypergeometric series and the Mellin–Barnes integrals for zeros of a system of Laurent polynomials

Vladimir R. Kulikov

Siberian Federal University, Krasnoyarsk, Russian Federation

Abstract: In the article we present a criterion for convergence of the Mellin–Barnes integral for zeros of a system of Laurent polynomials. Also we give a hypergeometric series for these zeros.

Keywords: Mellin–Barnes integrals, hypergeometric series, Laurent polynomials.

UDC: 517.55

Received: 13.09.2019
Received in revised form: 06.11.2019
Accepted: 20.12.2019

Language: English

DOI: 10.17516/1997-1397-2020-13-1-87-96

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