Author(s)

Young Jae Sim, Oh Sang Kwon

Department of Mathematics, Kyungsung University, Busan, Korea (South).

In the present paper, we introduce a class of analytic functions in the open unit disc by using the analytic function q_α(z)=3/(3+(α-3)z-αz²), which was investigated by Sokó? [1]. We find some properties including the growth theorem or the coefficient problem of this class and we find some relation with this new class and the class of convex functions.

Univalent Functions; Convex Functions; Subordination; Order of Convexity

Y. Sim and O. Kwon, "A Certain Subclass of Analytic Functions," Advances in Pure Mathematics, Vol. 2 No. 4, 2012, pp. 291-295. doi: 10.4236/apm.2012.24038.