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Sbornik: Mathematics, 1996, Volume 187, Issue 10, Pages 1545–1560
DOI: https://doi.org/10.1070/SM1996v187n10ABEH000168
(Mi sm168)
 

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

Growth of entire functions represented by Dirichlet series

V. A. Oskolkova, L. I. Kalinichenkob

a Moscow Institute of Municipal Economy and Construction
b Rostov State University
References:
Abstract: Let, F(z)=n=1aneλnz be an entire function represented in the whole of the plane by an absolutely convergent Dirichlet series such that
0λ1<λ2<,¯limnlnnλn=μ[0,+).
The connection between the growth of the quantity
M(F;x)=sup
End the behaviour of |a_n| and \lambda_n as n\to \infty is described in general form.
Received: 29.06.1995
Bibliographic databases:
UDC: 517.5
MSC: 30D15, 30B50
Language: English
Original paper language: Russian
Citation: V. A. Oskolkov, L. I. Kalinichenko, “Growth of entire functions represented by Dirichlet series”, Sb. Math., 187:10 (1996), 1545–1560
Citation in format AMSBIB
\Bibitem{OskKal96}
\by V.~A.~Oskolkov, L.~I.~Kalinichenko
\paper Growth of entire functions represented by Dirichlet series
\jour Sb. Math.
\yr 1996
\vol 187
\issue 10
\pages 1545--1560
\mathnet{http://mi.mathnet.ru/eng/sm168}
\crossref{https://doi.org/10.1070/SM1996v187n10ABEH000168}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1438980}
\zmath{https://zbmath.org/?q=an:0873.30014}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996WE55900014}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0030300530}
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  • https://doi.org/10.1070/SM1996v187n10ABEH000168
  • https://www.mathnet.ru/eng/sm/v187/i10/p129
  • This publication is cited in the following 1 articles:
    1. 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”, Siberian Math. J., 44:3 (2003), 529–538  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:338
    Russian version PDF:203
    English version PDF:14
    References:42
    First page:1
     
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