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

Authors : Yong SUN, Zhi-gang WANG, Antti RASİLA

Pages : 1695-1705

Doi:10.15672/HJMS.2018.632

View : 16 | Download : 9

Publication Date : 2019-12-08

Article Type : Research Paper

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