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Journal of Siberian Federal University. Mathematics & Physics, 2020, Volume 13, Issue 6, Pages 718–732
DOI: https://doi.org/10.17516/1997-1397-2020-13-6-718-732 (Mi jsfu876) 		 
Upper bounds for the analytic complexity of Puiseux polynomial solutions to bivariate hypergeometric systems

Vitaly A. Krasikov

Plekhanov Russian University of Economics, Moscow, Russian Federation
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DOI: https://doi.org/10.17516/1997-1397-2020-13-6-718-732
Abstract: The paper deals with the analytic complexity of solutions to bivariate holonomic hypergeometric systems of the Horn type. We obtain estimates on the analytic complexity of Puiseux polynomial solutions to the hypergeometric systems defined by zonotopes. We also propose algorithms of the analytic complexity estimation for polynomials.
Keywords: hypergeometric systems of partial differential equations, holonomic rank, polynomial solutions, zonotopes, analytic complexity, differential polynomial, hypergeometry package.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FSSW-2020-0008
This research was performed in the framework of the state task in the field of scientific activity of the Ministry of Science and Higher Education of the Russian Federation, project "Development of the methodology and a software platform for the construction of digital twins, intellectual analysis and forecast of complex economic systems", Grant no. FSSW-2020-0008.
Received: 10.06.2020
Received in revised form: 24.07.2020
Accepted: 20.09.2020
Bibliographic databases:
Document Type: Article
UDC: 517.55; 517.9
Language: English
Citation: Vitaly A. Krasikov, “Upper bounds for the analytic complexity of Puiseux polynomial solutions to bivariate hypergeometric systems”, J. Sib. Fed. Univ. Math. Phys., 13:6 (2020), 718–732
Citation in format AMSBIB
\Bibitem{Kra20}
\by Vitaly~A.~Krasikov
\paper Upper bounds for the analytic complexity of Puiseux polynomial solutions to bivariate hypergeometric systems
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2020
\vol 13
\issue 6
\pages 718--732
\mathnet{http://mi.mathnet.ru/jsfu876}
\crossref{https://doi.org/10.17516/1997-1397-2020-13-6-718-732}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000606215300006}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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