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Problemy Analiza — Issues of Analysis, 2013, Volume 2(20), Issue 1, Pages 38–42 (Mi pa3)  

This article is cited in 2 scientific papers (total in 2 papers)

Asymptotic values of functions, analytic in planar domain

E. G. Ganenkova, V. V. Starkov

Petrozavodsk State University, Faculty of Mathematics
Full-text PDF (158 kB) Citations (2)
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Abstract: In [1] W. Gross constructed the example of an entire function of infinite order whose set of asymptotic values is equal to the extended complex plain. We obtain an analog of Gross' result for functions, analytic in planar domains of arbitrary connectivity with isolated boundary fragment.
Keywords: analytic function; asymptotic value; isolated boundary fragment.
Received: 25.05.2013
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: 30D40
Language: English
Citation: E. G. Ganenkova, V. V. Starkov, “Asymptotic values of functions, analytic in planar domain”, Probl. Anal. Issues Anal., 2(20):1 (2013), 38–42
Citation in format AMSBIB
\Bibitem{KomSta13}
\by E.~G.~Ganenkova, V.~V.~Starkov
\paper Asymptotic values of functions, analytic in planar domain
\jour Probl. Anal. Issues Anal.
\yr 2013
\vol 2(20)
\issue 1
\pages 38--42
\mathnet{http://mi.mathnet.ru/pa3}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3168873}
\zmath{https://zbmath.org/?q=an:1294.30073}
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  • https://www.mathnet.ru/eng/pa/v20/i1/p38
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Problemy Analiza — Issues of Analysis
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    References:30
     
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