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Matematicheskie Zametki, 1997, Volume 62, Issue 2, Pages 238–258
DOI: https://doi.org/10.4213/mzm1608
(Mi mzm1608)
 

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

A relationship between the maximum modulus and Taylor coefficients of entire functions of several complex variables

Yu. F. Korobeinik

Rostov State University
Full-text PDF (254 kB) Citations (1)
References:
Abstract: We present results on the relationship between the growth of the maximum modulus and the decay of Taylor coefficients of entire functions of several variables. The results are obtained by two different methods, the first of which had been proposed earlier by Oskolkov for the one-dimensional case, and the second is based on the use of the Legendre–Jung–Fenchel conjugates of the weight functions. Attention is mainly paid to the characterization of the growth of entire functions with respect to the conjunction of variables; however, some results are obtained for the case in which there is different growth with respect to different variables.
Received: 27.06.1995
English version:
Mathematical Notes, 1997, Volume 62, Issue 2, Pages 198–215
DOI: https://doi.org/10.1007/BF02355908
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: Yu. F. Korobeinik, “A relationship between the maximum modulus and Taylor coefficients of entire functions of several complex variables”, Mat. Zametki, 62:2 (1997), 238–258; Math. Notes, 62:2 (1997), 198–215
Citation in format AMSBIB
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\by Yu.~F.~Korobeinik
\paper A relationship between the maximum modulus and Taylor coefficients of entire functions of several complex variables
\jour Mat. Zametki
\yr 1997
\vol 62
\issue 2
\pages 238--258
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\crossref{https://doi.org/10.4213/mzm1608}
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\zmath{https://zbmath.org/?q=an:0932.32003}
\transl
\jour Math. Notes
\yr 1997
\vol 62
\issue 2
\pages 198--215
\crossref{https://doi.org/10.1007/BF02355908}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000071268600027}
Linking options:
  • https://www.mathnet.ru/eng/mzm1608
  • https://doi.org/10.4213/mzm1608
  • https://www.mathnet.ru/eng/mzm/v62/i2/p238
  • 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
    Математические заметки Mathematical Notes
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    Abstract page:501
    Full-text PDF :234
    References:124
    First page:1
     
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