%0 Journal Article
%T Caratheodory's Inequality on the Right half plane
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Nafi ORNEK ¨, B¨ulent
%D 2020
%\ 01/01/2020
%V 11
%N 1
%P 247-258
%! Caratheodory's Inequality on the Right half plane
%K Analytic function
%K Schwarz lemma
%K Caratheodory's inequality
%R 10.22075/ijnaa.2020.4274
%X In this paper, a boundary version of Caratheodory's inequality on the right half plane is investigated.Z(s) is an analytic function dened in the right half of the s-plane.We derive inequalities for themodulus of Z(s) function, jZ′(0)j, by assuming the Z(s) function is also analytic at the boundarypoint s = 0 on the imaginary axis and nally, the sharpness of these inequalities is proved.
%U https://ijnaa.semnan.ac.ir/article_4274_259c968446fd88f65fd4cf916e49cc6d.pdf