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Mat. Sb. (N.S.), 1976, Volume 100(142), Number 1(5), Pages 137–155 (Mi msb2863)  

This article is cited in 4 scientific papers (total in 4 papers)

Rational approximations of holomorphic functions with singularities of finite order

E. M. Chirka


Abstract: Holomorphic functions having algebraic singular sets of finite order in $\mathbf {CP}^N$ are characterized by the degree of special rational approximations in a neighborhood of a point of holomorphy.
Bibliography: 7 titles.

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English version:
Mathematics of the USSR-Sbornik, 1976, 29:1, 123–138

Bibliographic databases:

Document Type: Article
UDC: 517.53
MSC: Primary 32E30, 30A82; Secondary 32A30
Received: 10.11.1975

Citation: E. M. Chirka, “Rational approximations of holomorphic functions with singularities of finite order”, Mat. Sb. (N.S.), 100(142):1(5) (1976), 137–155; Math. USSR-Sb., 29:1 (1976), 123–138

Citation in format AMSBIB
\Bibitem{Chi76}
\by E.~M.~Chirka
\paper Rational approximations of holomorphic functions with singularities of finite order
\jour Mat. Sb. (N.S.)
\yr 1976
\vol 100(142)
\issue 1(5)
\pages 137--155
\mathnet{http://mi.mathnet.ru/msb2863}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=417423}
\zmath{https://zbmath.org/?q=an:0328.30032}
\transl
\jour Math. USSR-Sb.
\yr 1976
\vol 29
\issue 1
\pages 123--138
\crossref{https://doi.org/10.1070/SM1976v029n01ABEH003656}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1976EV78700010}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. S. Sadullaev, “Plurisubharmonic measures and capacities on complex manifolds”, Russian Math. Surveys, 36:4 (1981), 61–119  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    2. A.L Levin, D.S Lubinsky, “Simultaneous rational approximation of a function and its derivatives in the complex plane”, Journal of Approximation Theory, 44:3 (1985), 205  crossref
    3. A. S. Sadullaev, E. M. Chirka, “On continuation of functions with polar singularities”, Math. USSR-Sb., 60:2 (1988), 377–384  mathnet  crossref  mathscinet  zmath
    4. Coman D., Poletsky E.A., “Overinterpolation”, J. Math. Anal. Appl., 335:1 (2007), 184–197  crossref  mathscinet  zmath  isi
  • Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics (from 1967)
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