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Mathematics of the USSR-Izvestiya, 1979, Volume 13, Issue 2, Pages 307–334
DOI: https://doi.org/10.1070/IM1979v013n02ABEH002045
(Mi im1918)
 

This article is cited in 3 scientific papers (total in 3 papers)

On the magnitudes of the positive deviations and of the defects of entire curves of finite lower order

V. I. Krutin'
References:
Abstract: In this paper analogues of results of W. K. Hayman and V. I. Petrenko for functions meromorphic in the finite complex plane are established. The results concern $p$-dimensional entire curves $\vec G(z)=\{g_n(z)\}_1^p$ (where the $g_n(z)$ are linearly independent integral functions). We show that $\sum_{\vec a\in A}\beta^\alpha(\vec a,\vec G)$ converges for $1\ge\alpha>1/2$ and $\sum_{\vec a\in A}\delta^\alpha(\vec a,\vec G)$ converges for $\alpha>1/3$, where $\beta(\vec a,\vec G)$ is the magnitude of the positive deviation of the integral curve, $\delta(\vec a,\vec G)$ the Nevanlinna defect and $A$ an admissible system of vectors.
Bibliography: 18 titles.
Received: 19.04.1976
Bibliographic databases:
UDC: 511.6+517.56
MSC: Primary 30D35; Secondary 30D20, 30G30
Language: English
Original paper language: Russian
Citation: V. I. Krutin', “On the magnitudes of the positive deviations and of the defects of entire curves of finite lower order”, Math. USSR-Izv., 13:2 (1979), 307–334
Citation in format AMSBIB
\Bibitem{Kru78}
\by V.~I.~Krutin'
\paper On the magnitudes of the positive deviations and of the defects of entire curves of finite lower order
\jour Math. USSR-Izv.
\yr 1979
\vol 13
\issue 2
\pages 307--334
\mathnet{http://mi.mathnet.ru//eng/im1918}
\crossref{https://doi.org/10.1070/IM1979v013n02ABEH002045}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=513912}
\zmath{https://zbmath.org/?q=an:0431.30019|0406.30020}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1979JD23800006}
Linking options:
  • https://www.mathnet.ru/eng/im1918
  • https://doi.org/10.1070/IM1979v013n02ABEH002045
  • https://www.mathnet.ru/eng/im/v42/i5/p1021
  • This publication is cited in the following 3 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
    Statistics & downloads:
    Abstract page:217
    Russian version PDF:69
    English version PDF:13
    References:45
    First page:1
     
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