TITLE:
A Certain Subclass of Analytic Functions with Bounded Positive Real Part
AUTHORS:
Young Jae Sim, Oh Sang Kwon
KEYWORDS:
Functions of Bounded Positive Real Part; Fekete-Szegö Problem; Inverse Functions; Bi-Univalent Functions
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.3 No.4,
July
2,
2013
ABSTRACT: For real numbers α and β such that 0≤α1β, we denote by T(α,β) the class of normalized analytic functions which satisfy , where U denotes the open unit disk. We find some relationships involving functions in the class T(α,β). And we estimate the bounds of coefficients and solve Fekete-Szego problem for functions in this class. Furthermore, we investigate the bounds of initial coefficients of inverse functions or bi-univalent functions.