B\"{u}lent Nafi \"{O}rnek Gebze Institute of Technology
Abstract : In this paper, a boundary version of the Schwarz and Carath\-\'{e}odory inequality are investigated. New inequalities of the Carath\'{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
