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

2017/03/28 by Sun, Yong, Wang, Zhi-Gang, Rasila, Antti
#30C45 #30C50 #30C80 #58E20 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1703.09485

Abstract

In this paper, we obtain the upper bounds to the third Hankel determinants for starlike functions of order α, convex functions of order α and bounded turning functions of order α. 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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