Hacettepe Journal of Mathematics and Statistics 2651-477X 2651-477X Hacettepe University 10.15672/HJMS.2018.632 Mathematical Sciences Matematik On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings https://orcid.org/0000-0001-8020-4684 Sun Yong Hunan Institute of Engineering https://orcid.org/0000-0001-6118-7196 Wang Zhi-gang Hunan First Normal University https://orcid.org/0000-0003-3797-942X Rasila Antti Aalto University 12 08 2019 48 6 1695 1705 02 13 2018 06 21 2018 Copyright © 2002, Hacettepe Journal of Mathematics and Statistics 2002 Hacettepe Journal of Mathematics and Statistics

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.

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