Avkhadiev–Becker Type Univalence Conditions for Biharmonic Mappings
- 作者: Nasibullin R.1
-
隶属关系:
- N. I. Lobachevskii Institute ofMathematics and Mechanics
- 期: 卷 39, 编号 6 (2018)
- 页面: 794-802
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202409
- DOI: https://doi.org/10.1134/S1995080218060124
- ID: 202409
如何引用文章
详细
In this paper we consider complex-valued biharmonic functions that are locally univalent. We construct families of biharmonic univalent mappings of the unite disc similar to Avkhadiev- Becker type conditions for analytic functions. Also, we investigate the case where biharmonic functions are defined on the exterior of the unit disc. In this case we obtain three analogs of Avkhadiev–Becker type conditions of univalence.
作者简介
R. Nasibullin
N. I. Lobachevskii Institute ofMathematics and Mechanics
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Email: NasibullinRamil@gmail.com
俄罗斯联邦, ul. Kremlevskaya 35, Kazan, Tatarstan, 420008