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Journal of Siberian Federal University. Mathematics & Physics, 2024, Volume 17, Issue 2, Pages 175–188 (Mi jsfu1147)  
On hypergeometric functions of two variables of complexity one

Valerii K. Beloshapka

Moscow Center of Fundamental and Applied Mathematics, Lomonosov Moscow State University, Moscow, Russian Federation
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Abstract: For a series of examples of Horn systems and the Lauricella system for functions of two variables the description of solution of complexity one is given. Several questions are formulated.
Keywords: analytical complexity,hypergeometric functions, Horn system, Lauricella system, differential ring.
Received: 10.09.2023
Received in revised form: 13.10.2023
Accepted: 20.12.2023
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: Valerii K. Beloshapka, “On hypergeometric functions of two variables of complexity one”, J. Sib. Fed. Univ. Math. Phys., 17:2 (2024), 175–188
Citation in format AMSBIB
\Bibitem{Bel24}
\by Valerii~K.~Beloshapka
\paper On hypergeometric functions of two variables of complexity one
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2024
\vol 17
\issue 2
\pages 175--188
\mathnet{http://mi.mathnet.ru/jsfu1147}
\edn{https://elibrary.ru/DSPWBH}
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