A Certain Subclass of Analytic Functions with Bounded Positive Real Part

DOI: 10.4236/apm.2013.34059   PDF   HTML     2,949 Downloads   5,238 Views  

Abstract

For real numbers α and β such that 0α1β, 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.

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Y. Sim and O. Kwon, "A Certain Subclass of Analytic Functions with Bounded Positive Real Part," Advances in Pure Mathematics, Vol. 3 No. 4, 2013, pp. 409-414. doi: 10.4236/apm.2013.34059.

Conflicts of Interest

The authors declare no conflicts of interest.

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