Avkhadiev–Becker Type Univalence Conditions for Biharmonic Mappings
- Авторы: Nasibullin R.1
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Учреждения:
- N. I. Lobachevskii Institute ofMathematics and Mechanics
- Выпуск: Том 39, № 6 (2018)
- Страницы: 794-802
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202409
- DOI: https://doi.org/10.1134/S1995080218060124
- ID: 202409
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Аннотация
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.
Об авторах
R. Nasibullin
N. I. Lobachevskii Institute ofMathematics and Mechanics
Автор, ответственный за переписку.
Email: NasibullinRamil@gmail.com
Россия, ul. Kremlevskaya 35, Kazan, Tatarstan, 420008