Marjono
In this paper we will discuss about univalent functions f in the unit disc D. We start our paper by mentioning the Miller-Mocanu Lemma. By considering about the Clunie-Jack Lemma and also the Maximum Modulus Principle, we will apply the Miller-Mocanu Lemma to Bazilevic function. The result is one of the subordination conditions. The work was based on the properties of the functions with positive real part, but we more give a special intension in a polar system this means in a sector. By using the Clunie-Jack Lemma and the Miller-Mocanu Lemma, and also by using the minimum modulus principle for harmonic functions we find superordinate of starlike function of order beta in a sector. © 2017 Author(s).
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Brawijaya University, Indonesia
