Journal of Siberian Federal University. Mathematics & Physics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


J. Sib. Fed. Univ. Math. Phys.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (134 kB)
References:
PDF
HTML
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
\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{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000514843200008}
Linking options:
  • https://www.mathnet.ru/eng/jsfu821
  • https://www.mathnet.ru/eng/jsfu/v13/i1/p87
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал Сибирского федерального университета. Серия "Математика и физика"
    Statistics & downloads:
    Abstract page:181
    Full-text PDF :66
    References:21
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024