An Investigation on a Subclass of p-Valently Starlike Functions in the Unit Disc

Authors : Y. POLATOĞLU, M. BOLCAL, A. Şen And E. YAVUZ

Pages : 221-228

View : 12 | Download : 4

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :Let Ap denote the class of functions of the form finsert ignore into journalissuearticles values(z); = zp+ap+1zp+1+ap+2zp+2+ ··· which are regular and p-valent in the open unit disc D = {z : |z| < 1}. Let Mpinsert ignore into journalissuearticles values(a); be the subclass of Ap consisting of functions finsert ignore into journalissuearticles values(z); which satisfy Re insert ignore into journalissuearticles values( z \frac{f`insert ignore into journalissuearticles values(z);}{finsert ignore into journalissuearticles values(z);}); < a, insert ignore into journalissuearticles values(z \in D); for some real a insert ignore into journalissuearticles values(a > 1);. The aim of this paper is to give a representation theorem, a distortion theorem and a coefficient inequality for the class Mpinsert ignore into journalissuearticles values(a);.
Keywords : Starlike and convex functions, distortion theorem, coefficient inequality