Enviar artigo por via de e-mail Avkhadiev–Becker Type Univalence Conditions for Biharmonic Mappings
- Autores: Nasibullin R.1
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Afiliações:
- N. I. Lobachevskii Institute ofMathematics and Mechanics
- Edição: Volume 39, Nº 6 (2018)
- Páginas: 794-802
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202409
- DOI: https://doi.org/10.1134/S1995080218060124
- ID: 202409
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Resumo
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.
Sobre autores
R. Nasibullin
N. I. Lobachevskii Institute ofMathematics and Mechanics
Autor responsável pela correspondência
Email: NasibullinRamil@gmail.com
Rússia, ul. Kremlevskaya 35, Kazan, Tatarstan, 420008
