On Landau’s Type Estimates for Coefficients of Univalent Functions

dc.contributor.author	Kayumov I.R.
dc.contributor.author	Khammatova D.M.
dc.contributor.author	Wirths K.J.
dc.date.accessioned	2021-02-25T20:44:35Z
dc.date.available	2021-02-25T20:44:35Z
dc.date.issued	2020
dc.identifier.issn	1617-9447
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/162346
dc.description.abstract	© 2020, Springer-Verlag GmbH Germany, part of Springer Nature. In this article we estimate the sum of coefficients for functions with restrictions on the pre-Schwarzian derivative. We obtain an estimate, which is sharp up to a constant and find upper and lower bounds for that constant. Also we estimate the sum of the first three coefficients for all functions f, such that log f′(z) is bounded with respect to the Bloch norm.
dc.relation.ispartofseries	Computational Methods and Function Theory
dc.subject	Bieberbach conjecture
dc.subject	Bloch functions
dc.subject	Pre-Schwarzian derivative
dc.subject	Univalent function
dc.title	On Landau’s Type Estimates for Coefficients of Univalent Functions
dc.type	Article
dc.relation.ispartofseries-issue	3-4
dc.relation.ispartofseries-volume	20
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	511
dc.source.id	SCOPUS16179447-2020-20-34-SID85088381249

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Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.