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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2022, Volume 62, Number 6, Pages 912–932
DOI: https://doi.org/10.31857/S0044466922060047 (Mi zvmmf11405) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Partial Differential Equations

Formulas for analytic continuation of Horn functions of two variables

S. I. Bezrodnykh

Federal Research Center "Computer Science and Control", Russian Academy of Sciences, 119333, Moscow, Russia
Citations (2)
DOI: https://doi.org/10.31857/S0044466922060047
Abstract: The Horn hypergeometric series of two variables and corresponding systems of partial differential equations are considered. A method is proposed for deriving formulas for analytic continuation of arbitrary series of this type in the form of linear combinations of other solutions of the system of equations satisfied by the original series. As an example, formulas for continuation of two series from the well-known Horn list are constructed.
Key words: hypergeometric functions of several variables, Horn series, Horn's list analytic continuation.
Received: 02.09.2021
Revised: 24.09.2021
Accepted: 07.10.2021
English version:
Computational Mathematics and Mathematical Physics, 2022, Volume 62, Issue 6, Pages 884–903
DOI: https://doi.org/10.1134/S0965542522060045
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: S. I. Bezrodnykh, “Formulas for analytic continuation of Horn functions of two variables”, Zh. Vychisl. Mat. Mat. Fiz., 62:6 (2022), 912–932; Comput. Math. Math. Phys., 62:6 (2022), 884–903
Citation in format AMSBIB
\Bibitem{Bez22}
\by S.~I.~Bezrodnykh
\paper Formulas for analytic continuation of Horn functions of two variables
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2022
\vol 62
\issue 6
\pages 912--932
\mathnet{http://mi.mathnet.ru/zvmmf11405}
\crossref{https://doi.org/10.31857/S0044466922060047}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4452828}
\elib{https://elibrary.ru/item.asp?id=48506070}
\transl
\jour Comput. Math. Math. Phys.
\yr 2022
\vol 62
\issue 6
\pages 884--903
\crossref{https://doi.org/10.1134/S0965542522060045}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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