Geodesic
Asymptotically sharp two-sided estimate for domains of univalence of holomorphic self-maps of a disc with an invariant diameter
Sbornik. Mathematics, Tome 211 (2020) no. 11, pp. 1592-1611 Cet article a éte moissonné depuis la source Math-Net.Ru

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Holomorphic self-maps of the unit disc with two fixed diametrically opposite boundary points and an invariant diameter are investigated. Asymptotically sharp estimates for domains of univalence are obtained for functions in such classes, which depend on the product of the angular derivatives at the boundary fixed points. Bibliography: 16 titles.
Keywords: holomorphic map, fixed points, angular derivative
Mots-clés : domain of univalence. 
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O. S. Kudryavtseva; A. P. Solodov. Asymptotically sharp two-sided estimate for domains of univalence of holomorphic self-maps of a disc with an invariant diameter. Sbornik. Mathematics, Tome 211 (2020) no. 11, pp. 1592-1611. http://geodesic.mathdoc.fr/item/SM_2020_211_11_a4/

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