... 1981), vol. 1013 of Lecture Notes in Mathematics, pp. 362–372, Springer, 1983.2 M. A. Nasr and M. K. Aouf, “Starlike function of complex order,” The Journal of Natural Sciences andMathematics, ... Journal of Inequalities and Applicationsthen we know that F is analytic in U, F01, and Re fz > 0 z ∈U.ThusF is the Carath´eodory function. Since the extremal function for the Carath´eodory ... Kadioˇglu,2and Shigeyoshi Owa31Department of Mathematics, Kazim Karabekir Faculty of Education, Atat¨urk University,Erzurum 25240, Turkey2Department of Mathematics, Science and Art Faculty, Atat¨urk...