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Journal of Siberian Federal University. Mathematics & Physics, 2020, Volume 13, Issue 1, Pages 87–96
DOI: https://doi.org/10.17516/1997-1397-2020-13-1-87-96 (Mi jsfu821) 		 
Hypergeometric series and the Mellin–Barnes integrals for zeros of a system of Laurent polynomials

Vladimir R. Kulikov

Siberian Federal University, Krasnoyarsk, Russian Federation
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DOI: https://doi.org/10.17516/1997-1397-2020-13-1-87-96
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.
Received: 13.09.2019
Received in revised form: 06.11.2019
Accepted: 20.12.2019
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: English
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
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\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{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000514843200008}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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