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Mathematics of the USSR-Sbornik, 1979, Volume 35, Issue 1, Pages 63–84
DOI: https://doi.org/10.1070/SM1979v035n01ABEH001452 (Mi sm2583) 		 
This article is cited in 18 scientific papers (total in 18 papers)

The Fourier series method for entire and meromorphic functions of completely regular growth

A. A. Kondratyuk
English version PDF (1011 kB) Citations (18) Russian version article
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DOI: https://doi.org/10.1070/SM1979v035n01ABEH001452
Abstract: By using the Fourier series method, we generalize the Levin–Pfluger theory of entire functions of completely regular growth in two directions: a) We introduce classes of meromorphic functions of completely regular growth; b) the growth of a function is measured with respect to an arbitrary nondecreasing continuous function $\lambda(r)$ that satisfies $\lambda(2r)/\lambda(r)=O(1)$ as $r\to\infty$.
Bibliography: 20 titles.
Received: 31.05.1977
Bibliographic databases:
UDC: 517.535.4
MSC: 30D20, 30D30
Language: English
Original paper language: Russian
Citation: A. A. Kondratyuk, “The Fourier series method for entire and meromorphic functions of completely regular growth”, Math. USSR-Sb., 35:1 (1979), 63–84
Citation in format AMSBIB
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\by A.~A.~Kondratyuk
\paper The Fourier series method for entire and meromorphic functions of completely regular growth
\jour Math. USSR-Sb.
\yr 1979
\vol 35
\issue 1
\pages 63--84
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\zmath{https://zbmath.org/?q=an:0426.30025|0392.30018}
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  • https://www.mathnet.ru/eng/sm/v148/i3/p386
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    This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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