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Matematicheskie Zametki, 1976, Volume 19, Issue 1, Pages 41–48 (Mi mzm7721)  
This article is cited in 1 scientific paper (total in 1 paper)

Integral representation of a class of univalent functions

D. V. Prokhorov, B. N. Rakhmanov

Saratov State University
Full-text PDF (599 kB) Citations (1)
Abstract: We refine and generalize a result of V. A. Zmorovich on the integral representation of a class of univalent functions which are convex in some direction. We prove that all function of the class being considered can be approximated by a Schwarz–Christoffel integral of a special form belonging to the same class.
Received: 17.03.1975
English version:
Mathematical Notes, 1976, Volume 19, Issue 1, Pages 24–28
DOI: https://doi.org/10.1007/BF01147613
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: D. V. Prokhorov, B. N. Rakhmanov, “Integral representation of a class of univalent functions”, Mat. Zametki, 19:1 (1976), 41–48; Math. Notes, 19:1 (1976), 24–28
Citation in format AMSBIB
\Bibitem{ProRak76}
\by D.~V.~Prokhorov, B.~N.~Rakhmanov
\paper Integral representation of a~class of univalent functions
\jour Mat. Zametki
\yr 1976
\vol 19
\issue 1
\pages 41--48
\mathnet{http://mi.mathnet.ru/mzm7721}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=481025}
\zmath{https://zbmath.org/?q=an:0331.30007}
\transl
\jour Math. Notes
\yr 1976
\vol 19
\issue 1
\pages 24--28
\crossref{https://doi.org/10.1007/BF01147613}
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  • https://www.mathnet.ru/eng/mzm/v19/i1/p41
    • 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
    		Математические заметки Mathematical Notes
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