O. S. Kudryavtseva, A. P. Solodov, “Generalization of the Landau and Becker–Pommerenke inequalities”, Dokl. RAN. Math. Inf. Proc. Upr., 2022, Volume 505,Pages <nobr>46

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MATHEMATICS

Generalization of the Landau and Becker–Pommerenke inequalities

O. S. Kudryavtseva^ab, A. P. Solodov^a

^a Moscow Center for Fundamental and Applied Mathematics, Moscow, Russia
^b Volgograd State Technical University, Volgograd, Russia

Abstract: A generalization of the Landau and Becker–Pommerenke inequalities, which are used to solve the problem of sharp domains of univalence in subclasses of holomorphic maps, is obtained.

Keywords: holomorphic map, fixed points, angular derivative, domain of univalence.

UDC: 517.54

Presented: B. S. Kashin
Received: 01.04.2022
Revised: 30.04.2022
Accepted: 27.05.2022

DOI: 10.31857/S2686954322040117