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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 10, Pages 59–67 (Mi ivm8102)  
This article is cited in 1 scientific paper (total in 1 paper)

One generalization of the class of helical functions

M. A. Sevodin

Chair of Applied Mathematics, Perm State Technical University, Perm, Russia
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Abstract: This paper is devoted to the study of domains whose boundaries are attainable by one-parametric families of curves formed by the rotation of a curve specially chosen for every family. We establish characteristics of analytic functions that map the unit circle on these domains. In addition, we single out subclasses of domains with rectifiable quasiconformal boundaries. We establish certain sufficient conditions for the univalence of functions that are analytic in mentioned domains.
Keywords: one-parametric families of curves, attainability of boundary, quasiconformal mapping, sufficient univalence conditions.
Received: 17.08.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 10, Pages 51–58
DOI: https://doi.org/10.3103/S1066369X11100070
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: M. A. Sevodin, “One generalization of the class of helical functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 10, 59–67; Russian Math. (Iz. VUZ), 55:10 (2011), 51–58
Citation in format AMSBIB
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\by M.~A.~Sevodin
\paper One generalization of the class of helical functions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 10
\pages 59--67
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\elib{https://elibrary.ru/item.asp?id=16546275}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 10
\pages 51--58
\crossref{https://doi.org/10.3103/S1066369X11100070}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84856281687}
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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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    References:34
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