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S. S. Miller and P. T. Mocanu, “Differential Subordinations, Theory and Applications,” Marcel Dekker, 2000.

has been cited by the following article:

• 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.