Bohr–Rogosinski Inequalities for Bounded Analytic Functions

dc.contributor.author	Alkhaleefah S.A.
dc.contributor.author	Kayumov I.R.
dc.contributor.author	Ponnusamy S.
dc.date.accessioned	2021-02-26T20:45:02Z
dc.date.available	2021-02-26T20:45:02Z
dc.date.issued	2020
dc.identifier.issn	1995-0802
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/163151
dc.description.abstract	© 2020, Pleiades Publishing, Ltd. Abstract: In this paper we first consider another version of the Rogosinski inequality for analytic functions (Formula presented.) in the unit disk (Formula presented.), in which we replace the coefficients (Formula presented.) of the power series by the derivatives (Formula presented.). Secondly, we obtain improved versions of the classical Bohr inequality and Bohr’s inequality for the harmonic mappings of the form (Formula presented.), where the analytic part (Formula presented.) is bounded by (Formula presented.) and that (Formula presented.) in \|z\|<1 and for some (Formula presented.).
dc.relation.ispartofseries	Lobachevskii Journal of Mathematics
dc.subject	Bohr inequality
dc.subject	Bohr radius
dc.subject	bounded analytic function
dc.subject	harmonic mappings
dc.subject	Rogosinski inequality
dc.subject	Rogosinski radius
dc.title	Bohr–Rogosinski Inequalities for Bounded Analytic Functions
dc.type	Article
dc.relation.ispartofseries-issue	11
dc.relation.ispartofseries-volume	41
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	2110
dc.source.id	SCOPUS19950802-2020-41-11-SID85098625745

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