A SHARP SCHWARZ AND CARATHÉODORY INEQUALITY ON THE BOUNDARY

Title & Authors
A SHARP SCHWARZ AND CARATHÉODORY INEQUALITY ON THE BOUNDARY
Ornek, Bulent Nafi;

Abstract
In this paper, a boundary version of the Schwarz and Carath$\small{\acute{e}}$odory inequality are investigated. New inequalities of the Carath$\small{\acute{e}}$odory's inequality and Schwarz lemma at boundary are obtained by taking into account zeros of f(z) function which are different from zero. The sharpness of these inequalities is also proved.
Keywords
Schwarz lemma on the boundary;holomorphic function;Julia-Wolff-Lemma;
Language
English
Cited by
References
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