International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 41, Pages 2603-2608
doi:10.1155/S0161171203209327

Properties of certain p-valently convex functions

Dinggong Yang1 and Shigeyoshi Owa2

1Department of Mathematics, Suzhou University, Suzhou 215006, Jiangsu, China
2Department of Mathematics, Kinki University, Higashi-Osaka 577-8502, Osaka, Japan

Abstract

A subclass 𝒞p(λ,μ)(p,0<λ<1,λμ<1) of p-valently convex functions in the open unit disk 𝕌 is introduced. The object of the present paper is to discuss some interesting properties of functions belonging to the class 𝒞p(λ,μ).