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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 9, Pages 86–89 (Mi ivm7132)  
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

Univalent functions without common values

D. A. Kirillova

Chair of Higher Mathematics, Far Eastern Academy for Humanities and Social Studies, Birobidzhan, Russia
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Abstract: In this paper we establish inequalities involving moduli of derivatives $|f_k'(0)|$ of functions $f_k$ univalent in the unit disk $|z|<1$ having no common values and translating zero in a point on the segment $[-1,1]$, $k=1,\dots,n$. We estimate $f_k$ by means of Schwarzian derivatives.
Keywords: univalent functions, extremal partitions, conformal radius, Schwarzian derivative.
Received: 29.01.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 9, Pages 74–76
DOI: https://doi.org/10.3103/S1066369X10090094
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: D. A. Kirillova, “Univalent functions without common values”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 9, 86–89; Russian Math. (Iz. VUZ), 54:9 (2010), 74–76
Citation in format AMSBIB
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\by D.~A.~Kirillova
\paper Univalent functions without common values
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 9
\pages 86--89
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2789311}
\elib{https://elibrary.ru/item.asp?id=14306126}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 9
\pages 74--76
\crossref{https://doi.org/10.3103/S1066369X10090094}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649619010}
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    • 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
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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