arXiv subjects

Jin-Hua Fan

Publications and source records attributed to Jin-Hua Fan.

2 recordsLinked to original sources

arXiv2021

On quasiconformal extensions of harmonic mappings associated with pre-Schwarzian derivative

In this paper, we extend Ahlfors's univalent criteria and Ahlfors's quasiconformal extension for analytic functions to harmonic mappings defined in the unit disk. Moreover, we give a general quasiconformal extension of harmonic Teichmüller mappings, whose maximal dilatation estimate is asymptotically sharp.

math.CV↗

arXiv2021

Some properties of certain close-to-convex harmonic mappings

In this paper, we determine the sharp estimates for Toeplitz determinants of a subclass of close-to-convex harmonic mappings. Moreover, we obtain an improved version of Bohr's inequalities for a subclass of close-to-convex harmonic mappings, whose analytic parts are Ma-Minda convex functions.

math.CV↗