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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)
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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}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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