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

Year 2019, Volume: 48 Issue: 6, 1695 - 1705, 08.12.2019

Yong Sun Zhi-gang Wang Antti Rasila

https://doi.org/10.15672/HJMS.2018.632

Cited By: 1

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

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