On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings

Abstract

In this paper, we obtain the upper bounds to the third Hankel determinants for convex functions of order $\alpha$ and bounded turning functions of order $\alpha$. Furthermore, several relevant results on a new subclass of close-to-convex harmonic mappings are obtained. Connections of the results presented here to those that can be found in the literature are also discussed.

Keywords

• Univalent function,starlike function,convex function,bounded turning function,close-to-convex function,harmonic mapping,Hankel determinant

References

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