Sa'adatul Fitri
Let f be analytic in D = {z: |z| < 1} with f(z)=z+n=2 anzn. For any real number α, M(α) is the class of alpha-convex, or so-called Ma-Minda functions. By used the definitions of Ma-Minda functions, we get two results. The first, if f is starlike and there is α >1 such that fM(α), then f is convex. The second, if f is starlike and not convex, then fM(α) for all α < 0. © 2017 Author(s).
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Brawijaya University, Malang, Indonesia
