Coefficient Inequalities for Bloch Functions
- Authors: Kayumov I.R.1, Wirths K.2
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Affiliations:
- Kazan (Volga Region) Federal University
- Institut für Analysis und Algebra
- Issue: Vol 40, No 9 (2019)
- Pages: 1319-1323
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205481
- DOI: https://doi.org/10.1134/S1995080219090117
- ID: 205481
Cite item
Abstract
In this article we derive new estimates for the moduli of the Taylor coefficients of Bloch functions. We use one of these estimates to prove an inequality of an area type for such functions.
About the authors
I. R. Kayumov
Kazan (Volga Region) Federal University
Author for correspondence.
Email: ikayumov@kpfu.ru
Russian Federation, Kazan, Tatarstan, 420008
K.-J. Wirths
Institut für Analysis und Algebra
Author for correspondence.
Email: kjwirths@tu-bs.de
Germany, Universitätsplatz 2, Braunschweig, 38106