Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Some concavity properties for general integral operators

Document Type : Research Paper

Authors
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
Subjects

Volume 41, Issue 5 - Serial Number 5
October 2015
Pages 1085-1092

  • Receive Date 16 March 2014
  • Revise Date 06 June 2014
  • Accept Date 08 July 2014