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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 5, Pages 1046–1063 (Mi smj1349)  

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

On generators in ideals of entire functions of finite order and type on the plane

A. S. Krivosheev, S. N. Gantsev

Ufa State Aviation Technical University
Full-text PDF (266 kB) Citations (1)
Abstract: We study ideals in the space of entire functions of finite order and type on the plane. We obtain necessary and sufficient conditions for the ideal of functions vanishing at the common zeros of a system of N functions to be generated by the latter.
Keywords: entire function, ideal, regular growth.
Received: 17.07.2001
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 5, Pages 843–857
DOI: https://doi.org/10.1023/A:1020150622648
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: A. S. Krivosheev, S. N. Gantsev, “On generators in ideals of entire functions of finite order and type on the plane”, Sibirsk. Mat. Zh., 43:5 (2002), 1046–1063; Siberian Math. J., 43:5 (2002), 843–857
Citation in format AMSBIB
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\by A.~S.~Krivosheev, S.~N.~Gantsev
\paper On generators in ideals of entire functions of finite order and type on the plane
\jour Sibirsk. Mat. Zh.
\yr 2002
\vol 43
\issue 5
\pages 1046--1063
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1946263}
\zmath{https://zbmath.org/?q=an:1018.30022}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 5
\pages 843--857
\crossref{https://doi.org/10.1023/A:1020150622648}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000178696400007}
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  • https://www.mathnet.ru/eng/smj/v43/i5/p1046
  • 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
    Сибирский математический журнал Siberian Mathematical Journal
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