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Matematicheskie Zametki, 1974, Volume 15, Issue 2, Pages 229–234 (Mi mzm7340)  

This article is cited in 1 scientific paper (total in 1 paper)

The representation of entire functions by series in solutions of differential equations

Yu. N. Frolov

Bashkir Branch, Academy of Sciences of the USSR
Full-text PDF (369 kB) Citations (1)
Abstract: An arbitrary entire function with a growth constraint is represented as the limit of a sequence of partial sums of a series comprised of functions of a fundamental system of particular solutions of a differential equation.
Received: 11.06.1973
English version:
Mathematical Notes, 1974, Volume 15, Issue 2, Pages 129–132
DOI: https://doi.org/10.1007/BF02102392
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: Yu. N. Frolov, “The representation of entire functions by series in solutions of differential equations”, Mat. Zametki, 15:2 (1974), 229–234; Math. Notes, 15:2 (1974), 129–132
Citation in format AMSBIB
\Bibitem{Fro74}
\by Yu.~N.~Frolov
\paper The representation of entire functions by series in solutions of differential equations
\jour Mat. Zametki
\yr 1974
\vol 15
\issue 2
\pages 229--234
\mathnet{http://mi.mathnet.ru/mzm7340}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=399457}
\zmath{https://zbmath.org/?q=an:0285.30017|0284.30013}
\transl
\jour Math. Notes
\yr 1974
\vol 15
\issue 2
\pages 129--132
\crossref{https://doi.org/10.1007/BF02102392}
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  • https://www.mathnet.ru/eng/mzm/v15/i2/p229
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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