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Matematicheskie Zametki, 1972, Volume 11, Issue 5, Pages 509–516 (Mi mzm9817)  

This article is cited in 1 scientific paper (total in 1 paper)

A generalization of a class of close-to-convex functions

D. V. Prokhorov
Full-text PDF (860 kB) Citations (1)
Abstract: We consider a class of functions, including the Bazilevich functions, which are regular in the unit disk. The theorems of Levandovskii identifying the class of close-to-convex functions with the class of linearly accessible functions are generalized, and the geometric structure of this class is established. A method constructing a subordinating homotopy chain is used.
Received: 08.04.1971
English version:
Mathematical Notes, 1972, Volume 11, Issue 5, Pages 311–315
DOI: https://doi.org/10.1007/BF01158643
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: D. V. Prokhorov, “A generalization of a class of close-to-convex functions”, Mat. Zametki, 11:5 (1972), 509–516; Math. Notes, 11:5 (1972), 311–315
Citation in format AMSBIB
\Bibitem{Pro72}
\by D.~V.~Prokhorov
\paper A generalization of a class of close-to-convex functions
\jour Mat. Zametki
\yr 1972
\vol 11
\issue 5
\pages 509--516
\mathnet{http://mi.mathnet.ru/mzm9817}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=310223}
\zmath{https://zbmath.org/?q=an:0245.30007|0236.30016}
\transl
\jour Math. Notes
\yr 1972
\vol 11
\issue 5
\pages 311--315
\crossref{https://doi.org/10.1007/BF01158643}
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  • https://www.mathnet.ru/eng/mzm/v11/i5/p509
  • 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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    Abstract page:219
    Full-text PDF :89
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