Avkhadiev–Becker Type Univalence Conditions for Biharmonic Mappings
- Авторлар: Nasibullin R.1
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Мекемелер:
- N. I. Lobachevskii Institute ofMathematics and Mechanics
- Шығарылым: Том 39, № 6 (2018)
- Беттер: 794-802
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202409
- DOI: https://doi.org/10.1134/S1995080218060124
- ID: 202409
Дәйексөз келтіру
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.
Авторлар туралы
R. Nasibullin
N. I. Lobachevskii Institute ofMathematics and Mechanics
Хат алмасуға жауапты Автор.
Email: NasibullinRamil@gmail.com
Ресей, ul. Kremlevskaya 35, Kazan, Tatarstan, 420008