Koebe domain of starlike functions of complex order with Montel normalization

Let S*(1-b), (b 0 complex) denote the class of functions f(z) = z + a2z2 + ... analytic in D = {z : |z| < 1} which satisfies for z = eiθ D, f(z) / z 0 in D, and Re[1 + 1/b(z f\u27(z) / f(z) - 1)] > 0. The aim of this paper is to give the Koebe domain of the above mentioned class

The radius of starlikeness for convex functions of complex order

We will give the relation between the class of Janowski starlike functions of complex order and the class of Janowski convex functions of complex order. As a corollary of this relation, we obtain the radius of starlikeness for the class of Janowski convex functions of complex order

Koebe domain of starlike functions of complex order with Montel normalization

Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7 Rome / CNR - Consiglio Nazionale delle RichercheSIGLEITItal