Email this article Uniqueness of the Critical Point of the Conformal Radius: “Method of Déjà vu”
- Authors: Kazantsev A.V.1, Kinder M.I.1
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Affiliations:
- Kazan (Volga Region) Federal University
- Issue: Vol 39, No 9 (2018)
- Pages: 1370-1376
- Section: Part 2. Special issue “Actual Problems of Algebra and Analysis” Editors: A. M. Elizarov and E. K. Lipachev
- URL: https://journals.rcsi.science/1995-0802/article/view/203359
- DOI: https://doi.org/10.1134/S1995080218090408
- ID: 203359
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Abstract
New conditions are constructed for the critical point of the conformal radius (hyperbolic derivative) to be unique where the mapping function is holomorphic and locally univalent in the unit disk. We use an approach based on the uniqueness research of the univalence conditions depending on the additional parameters. Such a research has been carried out for the univalence criteria due to Singhs, Szapiel and some other mathematicians.
About the authors
A. V. Kazantsev
Kazan (Volga Region) Federal University
Author for correspondence.
Email: avkazantsev63@gmail.com
Russian Federation, ul. Kremlevskaya 18, Kazan, 420008
M. I. Kinder
Kazan (Volga Region) Federal University
Email: avkazantsev63@gmail.com
Russian Federation, ul. Kremlevskaya 18, Kazan, 420008
