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Eurasian Mathematical Journal, 2013, Volume 4, Number 2, Pages 49–56 (Mi emj122)  
On angular boundary limits of normal subharmonic functions

S. Berberyan

Russian-Armenia (Slavonic) University, Armenia, Yerevan 0051, Ovsep Emin  st., 123
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Abstract: The paper considers normal subharmonic functions defined in the unit circle. New necessary and sufficient conditions for the existence of angular limits at arbitrary points of the unit circumference are obtained. The obtained conditions are less strong than in the previous results of different authors. Examples confirming the significance of these conditions are given.
Keywords and phrases: subharmonic and logarithmic subharmonic functions, normal functions, angular limits, cluster sets, non-Euclidean distance.
Received: 12.11.2010
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Document Type: Article
MSC: 31B05
Language: English
Citation: S. Berberyan, “On angular boundary limits of normal subharmonic functions”, Eurasian Math. J., 4:2 (2013), 49–56
Citation in format AMSBIB
\Bibitem{Ber13}
\by S.~Berberyan
\paper On angular boundary limits of normal subharmonic functions
\jour Eurasian Math. J.
\yr 2013
\vol 4
\issue 2
\pages 49--56
\mathnet{http://mi.mathnet.ru/emj122}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3118881}
\zmath{https://zbmath.org/?q=an:1277.31002}
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