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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2009, Volume 9, Issue 2, Pages 38–46 (Mi vngu172)  
This article is cited in 4 scientific papers (total in 4 papers)

Discrete Analytical Functions of Several Variables and Taylor Expansion

O. A. Danilova, A. D. Mednykhb

a Novosibirsk State University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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Abstract: The purpose of the present paper is to prove that any discrete analytical function of several variables admits a Taylor expansion. Contrarily to continuous case, such an expansion is not unique. We give a necessary and sufficient conditions for discrete Taylor series to be identically zero.
Received: 20.02.2009
Document Type: Article
UDC: 517.548
Language: Russian
Citation: O. A. Danilov, A. D. Mednykh, “Discrete Analytical Functions of Several Variables and Taylor Expansion”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 9:2 (2009), 38–46
Citation in format AMSBIB
\Bibitem{DanMed09}
\by O.~A.~Danilov, A.~D.~Mednykh
\paper Discrete Analytical Functions of Several Variables and Taylor Expansion
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2009
\vol 9
\issue 2
\pages 38--46
\mathnet{http://mi.mathnet.ru/vngu172}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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