On Univalent Conditions in Domains Belonging to One of the Rahmanov Classes
- 作者: Sevodin M.1
-
隶属关系:
- Perm National Research Polytechnic University
- 期: 卷 39, 编号 6 (2018)
- 页面: 835-840
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202500
- DOI: https://doi.org/10.1134/S1995080218060173
- ID: 202500
如何引用文章
详细
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.
作者简介
M. Sevodin
Perm National Research Polytechnic University
编辑信件的主要联系方式.
Email: m.sevodin@mail.ru
俄罗斯联邦, Komsomol’skii pr. 29, Perm, 614039