# IJPAM: Volume 83, No. 2 (2013)

COEFFICIENT BOUND OF A GENERALIZED
CLOSE-TO-CONVEX FUNCTION

Abdullah Yahya, Shaharuddin C. Soh, Daud Mohamad
Department of Mathematics
Faculty of Computers and Mathematical Sciences
Universiti Teknologi MARA Malaysia
40450, Shah Alam Selangor, MALAYSIA

Abstract. We look at function , which are analytic in the unit disc . For and , let denote the class of function , for which Re . In this paper, we determine the basic properties such as the representation theorem, extreme point and we obtain sharp bound for of .

AMS Subject Classification: 30C45

Key Words and Phrases: analytic function, starlike function, representation theorem, extreme points, coefficient bound