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Mathematics of the USSR-Sbornik, 1982, Volume 41, Issue 1, Pages 101–113
DOI: https://doi.org/10.1070/SM1982v041n01ABEH002223
(Mi sm2781)
 

This article is cited in 12 scientific papers (total in 12 papers)

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

A. A. Kondratyuk
References:
Abstract: The Fourier series method is used to obtain an integral criterion for an entire function to be of completely regular growth.
It is shown that when the pair $(Z,W)$ of sequences $Z$ of zeros and $W$ of poles of a meromorphic function $f$ has an angular density, the function belongs to the class $\Lambda^0$ of meromorphic functions of completely regular growth introduced in Part I of this paper, and the asymptotic properties of this function are studied. A function $f\in\Lambda^0$ for which $(Z,W)$ does not have an angular density is constructed; examples of $[\varkappa,\rho]$-trigonometrically convex functions are presented.
Bibliography: 14 titles.
Received: 10.08.1978
Bibliographic databases:
UDC: 517.535.4
MSC: 30D15, 30D35
Language: English
Original paper language: Russian
Citation: A. A. Kondratyuk, “The Fourier series method for entire and meromorphic functions of completely regular growth. II”, Math. USSR-Sb., 41:1 (1982), 101–113
Citation in format AMSBIB
\Bibitem{Kon80}
\by A.~A.~Kondratyuk
\paper The Fourier series method for entire and meromorphic functions of completely regular growth.~II
\jour Math. USSR-Sb.
\yr 1982
\vol 41
\issue 1
\pages 101--113
\mathnet{http://mi.mathnet.ru//eng/sm2781}
\crossref{https://doi.org/10.1070/SM1982v041n01ABEH002223}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=590541}
\zmath{https://zbmath.org/?q=an:0441.30036}
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  • https://www.mathnet.ru/eng/sm/v155/i1/p118
    Cycle of papers
    This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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