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Mathematics of the USSR-Sbornik, 1976, Volume 29, Issue 2, Pages 281–302
DOI: https://doi.org/10.1070/SM1976v029n02ABEH003668
(Mi sm2876)
 

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

On the growth of entire functions represented by regularly convergent function series

V. A. Oskolkov
References:
Abstract: The first part of the article is devoted to the investigation of the growth of entire functions represented by the polynomial series of Abel–Goncharov and Newton, and by Taylor series with variable centering. Under certain assumptions about the sequence of interpolation nodes, we find both the order and sharp lower and upper estimates for the type of an entire function represented by an Abel–Goncharov series. Making various assumptions about the interpolation nodes, we find both the order and a sharp upper estimate for the indicator of an entire function represented by Newton's series, as well as sharp lower and upper estimates for the type of such a function.
Bibliography: 14 titles.
Received: 01.09.1975
Bibliographic databases:
UDC: 517.535.4
MSC: 30A64, 30A80
Language: English
Original paper language: Russian
Citation: V. A. Oskolkov, “On the growth of entire functions represented by regularly convergent function series”, Math. USSR-Sb., 29:2 (1976), 281–302
Citation in format AMSBIB
\Bibitem{Osk76}
\by V.~A.~Oskolkov
\paper On the growth of entire functions represented by regularly convergent function series
\jour Math. USSR-Sb.
\yr 1976
\vol 29
\issue 2
\pages 281--302
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\crossref{https://doi.org/10.1070/SM1976v029n02ABEH003668}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=409811}
\zmath{https://zbmath.org/?q=an:0339.30021}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1976EZ91500011}
Linking options:
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  • https://doi.org/10.1070/SM1976v029n02ABEH003668
  • https://www.mathnet.ru/eng/sm/v142/i2/p312
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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