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.
Citation:
O. S. Kudryavtseva, A. P. Solodov, “Generalization of the Landau and Becker–Pommerenke inequalities”, Dokl. RAN. Math. Inf. Proc. Upr., 505 (2022), 46–49; Dokl. Math., 106:1 (2022), 251–253
This publication is cited in the following 1 articles:
V. V. Goryainov, O. S. Kudryavtseva, A. P. Solodov, “Iterates of holomorphic maps, fixed points, and domains of univalence”, Russian Math. Surveys, 77:6 (2022), 959–1020