International Journal of Mathematics and Mathematical Sciences
Volume 11 (1988), Issue 3, Pages 485-492
doi:10.1155/S0161171288000560

On convex functions of order α and type β

Wancang Ma

Department of Mathematics, Northwest University, Xian, China

Abstract

Owa [1] gave three subordination theorems for convex functions of order α and starlike functions of order α. Unfortunately, none of the theorems is correct. In this paper, similar problems are discussed for a generalized class and sharp results are given.