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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 6, Pages 12–19 (Mi ivm7499)  
This article is cited in 5 scientific papers (total in 5 papers)

The distribution of values of harmonic functions in the unit disk

S. L. Berberyan

Chair of Mathematics and Mathematical Modeling, Russian-Armenian (Slavonic) University, Yerevan, Republic of Armenia
Full-text PDF (191 kB) Citations (5)
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Abstract: In this paper we study the distribution of values of harmonic functions in non-Euclidean circles. We introduce the notion of a $P'$-sequence, which enables us to characterize the class of normal harmonic functions defined in the unit circle. We obtain sufficient conditions for the existence of such sequences and give examples which show that these conditions are essential in the stated theorems.
Keywords: harmonic functions, angular limit, normal harmonic functions, non-Euclidean circles, $P$-sequence, $P'$-sequence.
Received: 16.02.2010
Revised: 13.03.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 6, Pages 9–14
DOI: https://doi.org/10.3103/S1066369X11060028
Bibliographic databases:
Document Type: Article
UDC: 517.538
Language: Russian
Citation: S. L. Berberyan, “The distribution of values of harmonic functions in the unit disk”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 6, 12–19; Russian Math. (Iz. VUZ), 55:6 (2011), 9–14
Citation in format AMSBIB
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\by S.~L.~Berberyan
\paper The distribution of values of harmonic functions in the unit disk
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 6
\pages 12--19
\mathnet{http://mi.mathnet.ru/ivm7499}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2931700}
\elib{https://elibrary.ru/item.asp?id=15705508}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 6
\pages 9--14
\crossref{https://doi.org/10.3103/S1066369X11060028}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051646912}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:45
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