Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 9, Pages 3–9 (Mi ivm7925)  
This article is cited in 3 scientific papers (total in 3 papers)

Some applications of $P'$-sequences in studying boundary properties of arbitrary harmonic functions

S. L. Berberyan

Chair of Mathematics and Mathematical Modeling, Russian-Armenian (Slavonic) University, Yerevan, Republic of Armenia
Full-text PDF (184 kB) Citations (3)
References:
PDF
HTML
Abstract: In this paper we study some boundary properties of harmonic functions defined in the unit disk in dependence of the location of $P'$-sequences on chords and horocycles. We introduce notions of $P'$-chords, normal chords, $P'$-horocycles, and normal horocycles.
Keywords: harmonic functions, non-Euclidean circles, radii and distances, $P'$-sequence, $P'$-chord, horocyclic point, horocyclic angle.
Received: 16.06.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 9, Pages 1–6
DOI: https://doi.org/10.3103/S1066369X11090015
Bibliographic databases:
Document Type: Article
UDC: 519.8
Language: Russian
Citation: S. L. Berberyan, “Some applications of $P'$-sequences in studying boundary properties of arbitrary harmonic functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 9, 3–9; Russian Math. (Iz. VUZ), 55:9 (2011), 1–6
Citation in format AMSBIB
\Bibitem{Ber11}
\by S.~L.~Berberyan
\paper Some applications of $P'$-sequences in studying boundary properties of arbitrary harmonic functions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 9
\pages 3--9
\mathnet{http://mi.mathnet.ru/ivm7925}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2931770}
\elib{https://elibrary.ru/item.asp?id=16458599}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 9
\pages 1--6
\crossref{https://doi.org/10.3103/S1066369X11090015}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80055072083}
Linking options:
  • https://www.mathnet.ru/eng/ivm7925
  • https://www.mathnet.ru/eng/ivm/y2011/i9/p3
    • 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 высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024