[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2014.29.1.075

A SHARP SCHWARZ AND CARATHÉODORY INEQUALITY ON THE BOUNDARY

Ornek, Bulent Nafi (Department of Mathematics Gebze Institute of Technology)

Publication Information

Communications of the Korean Mathematical Society / v.29, no.1, 2014 , pp. 75-81 More about this Journal

Abstract

In this paper, a boundary version of the Schwarz and Carath $\acute{e}$ odory inequality are investigated. New inequalities of the Carath $\acute{e}$ 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;

Citations & Related Records

Reference

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