Some Properties of Analytic Functions with the Fixed Second Coefficients

Oh Sang Kwon

Department of Mathematics, Kyungsung University, Busan, Korea.

DOI: 10.4236/apm.2014.45025                

Abstract

In this paper, we investigate some argument properties for analytic functions with fixed second coefficient and positive real part. And we apply the argument properties to the functions that are analytic and normalized. In particular, the order of strongly starlikeness of strongly convex functions with fixed second coefficients is given.

Keywords

Analytic Functions, Argument Estimate, Fixed Second Coefficients, Strongly Starlike Functions, Strongly Convex Functions

Conflicts of Interest

The authors declare no conflicts of interest.

References

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