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arXiv · 1703.09485

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

Yong Sun·Zhi-Gang Wang·Antti Rasila
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Abstract

In this paper, we obtain the upper bounds to the third Hankel determinants for starlike functions of order $\alpha$, 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.

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Yong Sun, Zhi-Gang Wang, Antti Rasila. 2017-03-28. On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings. https://arxiv.org/abs/1703.09485

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