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Mathematics of the USSR-Izvestiya, 1986, Volume 27, Issue 3, Pages 431–450
DOI: https://doi.org/10.1070/IM1986v027n03ABEH001184 (Mi im1392) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Complete regularity of growth for some classes of entire functions of exponential type represented by Вorel integrals and power series

N. V. Govorov, N. M. Chernykh
English version PDF (906 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM1986v027n03ABEH001184
Abstract: New tests are obtained for the regularity of growth of entire functions of exponential type that are represented as power series $F(z)=\sum_{n=0}^\infty\frac{a_n}{n!}z^n$ and Borel (Laplace) integrals $F(z)=\int_Lf(\tau)e^{z\tau}\,d\tau$.
Bibliography: 16 titles.
Received: 10.08.1983
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1985, Volume 49, Issue 6, Pages 1155–1176
Bibliographic databases:
UDC: 517.547.22
MSC: 30D15
Language: English
Original paper language: Russian
Citation: N. V. Govorov, N. M. Chernykh, “Complete regularity of growth for some classes of entire functions of exponential type represented by Вorel integrals and power series”, Izv. Akad. Nauk SSSR Ser. Mat., 49:6 (1985), 1155–1176; Math. USSR-Izv., 27:3 (1986), 431–450
Citation in format AMSBIB
\Bibitem{GovChe85}
\by N.~V.~Govorov, N.~M.~Chernykh
\paper Complete regularity of growth for some classes of entire functions of exponential type represented by Вorel integrals and power series
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1985
\vol 49
\issue 6
\pages 1155--1176
\mathnet{http://mi.mathnet.ru/im1392}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=816852}
\zmath{https://zbmath.org/?q=an:0608.30032|0592.30030}
\transl
\jour Math. USSR-Izv.
\yr 1986
\vol 27
\issue 3
\pages 431--450
\crossref{https://doi.org/10.1070/IM1986v027n03ABEH001184}
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  • https://www.mathnet.ru/eng/im/v49/i6/p1155
    • 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
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:385
    Russian version PDF:115
    English version PDF:21
    References:86
    First page:1
     
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