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, 2019, Volume 12, Issue 4, Pages 509–529
DOI: https://doi.org/10.17516/1997-1397-2019-12-4-509-529 (Mi jsfu784) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Domains of convergence for $A$-hypergeometric series and integrals

Lisa Nilssona, Mikael Passarea, August K. Tsikhb

a Stockholm University, Stockholm, Sweden
b Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
Full-text PDF (196 kB) Citations (8)
References:
PDF
HTML
DOI: https://doi.org/10.17516/1997-1397-2019-12-4-509-529
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.
Keywords: $A$-hypergeometric series, Mellin–Barnes integral, $\Gamma$-integral, principal $A$-determinant.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.2604.2017/PCh
Russian Foundation for Basic Research 18-51-41011_Uzb_t
The third author was supported by the grant of Ministry of Education and Science of the Russian Federation (no. 1.2604.2017/PCh) and was supported by RFBR, grant 18-51-41011 Uzb.t.
Received: 17.05.2019
Received in revised form: 10.07.2019
Accepted: 15.08.2019
Bibliographic databases:
Document Type: Article
UDC: 517.55+512.761
Language: English
Citation: Lisa Nilsson, Mikael Passare, August K. Tsikh, “Domains of convergence for $A$-hypergeometric series and integrals”, J. Sib. Fed. Univ. Math. Phys., 12:4 (2019), 509–529
Citation in format AMSBIB
\Bibitem{NilPasTsi19}
\by Lisa~Nilsson, Mikael~Passare, August~K.~Tsikh
\paper Domains of convergence for $A$-hypergeometric series and integrals
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2019
\vol 12
\issue 4
\pages 509--529
\mathnet{http://mi.mathnet.ru/jsfu784}
\crossref{https://doi.org/10.17516/1997-1397-2019-12-4-509-529}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000483323900014}
Linking options:
  • https://www.mathnet.ru/eng/jsfu784
  • https://www.mathnet.ru/eng/jsfu/v12/i4/p509
    • This publication is cited in the following 8 articles:
    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:425
    Full-text PDF :262
    References:35
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024