Some concavity properties for general integral operators

Authors

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

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

R. W. Ibrahim 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.

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Journal title

Bulletin of the Iranian Mathematical Society

volume 41 issue 5

pages 1085- 1092

publication date 2015-10-01

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Keywords

Unit disk‎ ‎univalent function‎ ‎concave function‎ ‎integral operator‎

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