3 citations · 6 across the 9 of their papers we have counts for
9 papers
On quasiconformal extensions of harmonic mappings associated with pre-Schwarzian derivative
Xiao-Yuan Wang, Jin-Hua Fan, Zhen-Yong Hu +1
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…
Some properties of certain close-to-convex harmonic mappings
Xiao-Yuan Wang, Zhi-Gang Wang, Jin-Hua Fan +1
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 ineq…
Initial successive coefficients for certain classes of univalent functions involving the exponential function
Lei Shi, Zhi-Gang Wang, Ren-Li Su +1
Let denote the family of all functions that are analytic and univalent in the unit disk and satisfy . In the presen…
On a subclass of starlike functions associated with a vertical strip domain
Yong Sun, Zhi-Gang Wang, Antti Rasila +1
In this paper, we consider a subclass of starlike functions associated with a vertical strip domain. Several results concerned with integral representations, convolutions, and coef…
Construction of univalent harmonic mappings convex in one direction
Zhi-Gang Wang, Lei Shi, Yue-Ping Jiang
In the present paper, we derive several conditions of linear combinations and convolutions of harmonic mappings to be univalent and convex in one direction, one of them gives a par…
On quasiconformal close-to-convex harmonic mappings involving starlike functions
Zhi-Gang Wang, Xin-Zhong Huang, Zhi-Hong Liu +1
In the present paper, we discuss several basic properties of a class of quasiconformal close-to-convex harmonic mappings with starlike analytic part, such results as coefficient in…
On properties of the solutions to the -harmonic equation
Peijin Li, Antti Rasila, Zhi-Gang Wang
The aim of this paper is to establish properties of the solutions to the -harmonic equations: , wher…
On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings
Yong Sun, Zhi-Gang Wang, Antti Rasila
In this paper, we obtain the upper bounds to the third Hankel determinants for starlike functions of order , convex functions of order and bounded turning functions of order…
On a problem of Bharanedhar and Ponnusamy involving planar harmonic mappings
Zhi-Gang Wang, Zhi-Hong Liu, Antti Rasila +1
In this paper, we give a negative answer to a problem presented by Bharanedhar and Ponnusamy (Rocky Mountain J. Math. 44: 753--777, 2014) concerning univalency of a class of harmon…