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 J. Sib. Fed. Univ. Math. Phys., 2020, Volume 13, Issue 1, Pages 87–96 (Mi jsfu821)

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

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.

 Funding Agency Grant Number Russian Foundation for Basic Research 18-31-00193 The research is carried out with the financial support of the RFBR, project no. 18-31-00193.

DOI: https://doi.org/10.17516/1997-1397-2020-13-1-87-96

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UDC: 517.55
Accepted: 20.12.2019
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Citation: Vladimir R. Kulikov, “Hypergeometric series and the Mellin–Barnes integrals for zeros of a system of Laurent polynomials”, J. Sib. Fed. Univ. Math. Phys., 13:1 (2020), 87–96

Citation in format AMSBIB
\Bibitem{Kul20} \by Vladimir~R.~Kulikov \paper Hypergeometric series and the Mellin--Barnes integrals for zeros of a system of Laurent polynomials \jour J. Sib. Fed. Univ. Math. Phys. \yr 2020 \vol 13 \issue 1 \pages 87--96 \mathnet{http://mi.mathnet.ru/jsfu821} \crossref{https://doi.org/10.17516/1997-1397-2020-13-1-87-96} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000514843200008}