Some concavity properties for general integral operators

Darus, M.; Aldawish, I.; Ibrahim, R. W.

Some concavity properties for general integral operators

Document Type : Research Paper

Authors

M. Darus ¹
I. Aldawish ¹
R. W. Ibrahim ²

¹ School of Mathematical Sciences‎, ‎Faculty of Science and Technology‎, ‎Universiti Kebangsaan Malaysia‎, ‎43600 UKM Bangi‎ ‎Selangor DE‎, ‎Malaysia

² Institute of Mathematical Sciences‎, ‎Universiti Malaya‎, ‎50603‎, ‎Malaysia.

Abstract

Let $C_0(alpha)$ denote the class of concave univalent functions defined in the open unit disk $mathbb{D}$. Each function $f in C_{0}(alpha)$ maps the unit disk $mathbb{D}$ onto the complement of an unbounded convex set. In this paper, we study the mapping properties of this class under integral operators.

Keywords