On Univalent Conditions in Domains Belonging to One of the Rahmanov Classes
- Autores: Sevodin M.1
-
Afiliações:
- Perm National Research Polytechnic University
- Edição: Volume 39, Nº 6 (2018)
- Páginas: 835-840
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202500
- DOI: https://doi.org/10.1134/S1995080218060173
- ID: 202500
Citar
Resumo
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.
Palavras-chave
Sobre autores
M. Sevodin
Perm National Research Polytechnic University
Autor responsável pela correspondência
Email: m.sevodin@mail.ru
Rússia, Komsomol’skii pr. 29, Perm, 614039