International Journal of Mathematics and Mathematical Sciences 
Volume 29 (2002), Issue 8, Pages 459-465
doi:10.1155/S0161171202007585

Certain convex harmonic functions

Yong Chan Kim,1 Jay M. Jahangiri,2 and Jae Ho Choi1

1Department of Mathematics Education, Yeungnam University, Gyongsan 712-749, Korea
2Department of Mathematics, Kent State University, Burton, OH 44021-9500, USA

Received 21 December 2000; Revised 2 May 2001

Abstract

We define and investigate a family of complex-valued harmonic convex univalent functions related to uniformly convex analytic functions. We obtain coefficient bounds, extreme points, distortion theorems, convolution and convex combinations for this family.