Email this article On Univalent Conditions in Domains Belonging to One of the Rahmanov Classes
- Authors: Sevodin M.A.1
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Affiliations:
- Perm National Research Polytechnic University
- Issue: Vol 39, No 6 (2018)
- Pages: 835-840
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202500
- DOI: https://doi.org/10.1134/S1995080218060173
- ID: 202500
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Abstract
The purpose of this paper is to establish new sufficient conditions for the univalence of analytical functions. We consider the case when the functions are defined in the domains belonging to one of the Rahmanov classes. Our study is based upon an examination of the properties of some generalizations of spiral domains using the quasiconformal extension method. Possible applications of the obtained results to the solution of the strong problem of univalence in inverse boundary value problems are shown.
About the authors
M. A. Sevodin
Perm National Research Polytechnic University
Author for correspondence.
Email: m.sevodin@mail.ru
Russian Federation, Komsomol’skii pr. 29, Perm, 614039
