The Carathéodory Inequality on the Boundary for Holomorphic Functions in the Unit Disc

In this paper, a boundary version of the Carathéodory inequality is studied. For the function f(z), defined in the unit disc with f(0) = 0, R f(z) ≤ A, we estimate a modulus of angular derivative at the boundary point z0, Rf(z0) = A, by taking into account the first two nonzero Maclaurin coefficient...

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Bibliographic Details
Date:2016
Main Author: Örnek, B.N.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2016
Series:Журнал математической физики, анализа, геометрии
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/140556
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The Carathéodory Inequality on the Boundary for Holomorphic Functions in the Unit Disc / B.N. Örnek // Журнал математической физики, анализа, геометрии. — 2016. — Т. 12, № 4. — С. 287-301. — Бібліогр.: 9 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine