Email this article Avkhadiev–Becker Type Univalence Conditions for Biharmonic Mappings
- Authors: Nasibullin R.G.1
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Affiliations:
- N. I. Lobachevskii Institute ofMathematics and Mechanics
- Issue: Vol 39, No 6 (2018)
- Pages: 794-802
- Section: Article
- URL: https://bakhtiniada.ru/1995-0802/article/view/202409
- DOI: https://doi.org/10.1134/S1995080218060124
- ID: 202409
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Abstract
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.
About the authors
R. G. Nasibullin
N. I. Lobachevskii Institute ofMathematics and Mechanics
Author for correspondence.
Email: NasibullinRamil@gmail.com
Russian Federation, ul. Kremlevskaya 35, Kazan, Tatarstan, 420008
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