%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 Ornek, Bulent Nafi
%D 2020
%\ 04/01/2020
%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 defined in the right half of the $s$-plane.We derive inequalities for the modulus of $Z(s)$ function, $|Z′(0)|$, by assuming the $Z(s)$ function is also analytic at the boundary point $s = 0$ on the imaginary axis and finally, the sharpness of these inequalities are proved.
%U https://ijnaa.semnan.ac.ir/article_4274_259c968446fd88f65fd4cf916e49cc6d.pdf