TITLE:
A Certain Subclass of Analytic Functions
AUTHORS:
Young Jae Sim, Oh Sang Kwon
KEYWORDS:
Univalent Functions; Convex Functions; Subordination; Order of Convexity
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.2 No.4,
July
30,
2012
ABSTRACT: In the present paper, we introduce a class of analytic functions in the open unit disc by using the analytic function qα(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.