Asymptotically sharp two-sided estimate for domains of univalence of holomorphic self-maps of a disc with an invariant diameter

Autor:	A. P. Solodov, Olga Sergeevna Kudryavtseva
Rok vydání:	2020
Předmět:	Pure mathematics Algebra and Number Theory Mathematics::Complex Variables Holomorphic function Invariant (mathematics) Mathematics
Zdroj:	Sbornik: Mathematics. 211:1592-1611
ISSN:	1064-5616
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::80a72875f237354affd8fc86d9fe9c7c https://doi.org/10.1070/sm9367 Zobrazit plný text záznamu