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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 3, Pages 674–685 (Mi smj1205)  

This article is cited in 2 scientific papers (total in 2 papers)

On influence of the arguments of coefficients of a power series expansion of an entire function on the growth of the maximum of its modulus

P. V. Filevich

Ivan Franko National University of L'viv
Full-text PDF (206 kB) Citations (2)
References:
Abstract: The following question is discussed: How fast can the maximum of the modulus of one entire function grow in comparison with the maximum of the modulus of another function provided that the corresponding Taylor coefficients of both functions are equal in magnitude?
Keywords: entire function, maximum of modulus, power series.
Received: 14.11.2001
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 3, Pages 529–538
DOI: https://doi.org/10.1023/A:1023825117420
Bibliographic databases:
UDC: 517.53
Language: Russian
Citation: P. V. Filevich, “On influence of the arguments of coefficients of a power series expansion of an entire function on the growth of the maximum of its modulus”, Sibirsk. Mat. Zh., 44:3 (2003), 674–685; Siberian Math. J., 44:3 (2003), 529–538
Citation in format AMSBIB
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\by P.~V.~Filevich
\paper On influence of the arguments of coefficients of a power series expansion of an entire function on the growth of the maximum of its modulus
\jour Sibirsk. Mat. Zh.
\yr 2003
\vol 44
\issue 3
\pages 674--685
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1984711}
\zmath{https://zbmath.org/?q=an:1029.30019}
\transl
\jour Siberian Math. J.
\yr 2003
\vol 44
\issue 3
\pages 529--538
\crossref{https://doi.org/10.1023/A:1023825117420}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000183560300014}
Linking options:
  • https://www.mathnet.ru/eng/smj1205
  • https://www.mathnet.ru/eng/smj/v44/i3/p674
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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