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Matematicheskie Zametki, 1968, Volume 4, Issue 2, Pages 191–200 (Mi mzm6761)  

This article is cited in 8 scientific papers (total in 8 papers)

Representation of functions analytic in a closed domain by series of rational functions

T. A. Leont'eva

M. V. Lomonosov Moscow State University
Full-text PDF (521 kB) Citations (8)
Abstract: A method is given for representing functions analytic in a closed Jordan domain by series of the form $\sum_{n=1}^\infty\frac{A_n}{z-\alpha_n}$ (where the poles $\alpha_n$ lie outside the domain) and a bound is obtained for the coefficients $A_n$.
Received: 18.01.1968
English version:
Mathematical Notes, 1968, Volume 4, Issue 2, Pages 606–611
DOI: https://doi.org/10.1007/BF01094960
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: T. A. Leont'eva, “Representation of functions analytic in a closed domain by series of rational functions”, Mat. Zametki, 4:2 (1968), 191–200; Math. Notes, 4:2 (1968), 606–611
Citation in format AMSBIB
\Bibitem{Leo68}
\by T.~A.~Leont'eva
\paper Representation of functions analytic in a~closed domain by series of rational functions
\jour Mat. Zametki
\yr 1968
\vol 4
\issue 2
\pages 191--200
\mathnet{http://mi.mathnet.ru/mzm6761}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=233988}
\zmath{https://zbmath.org/?q=an:0195.35801|0188.38004}
\transl
\jour Math. Notes
\yr 1968
\vol 4
\issue 2
\pages 606--611
\crossref{https://doi.org/10.1007/BF01094960}
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  • https://www.mathnet.ru/eng/mzm/v4/i2/p191
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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