13 citations · 23 across the 7 of their papers we have counts for
7 papers
Refined Bohr inequality for bounded analytic functions
Gang Liu, Zhihong Liu, Saminathan Ponnusamy
In this article, by combining appropriate refined Bohr's inequalities with some techniques concerning bounded analytic functions defined in the unit disk, we generalize and improve…
On univalent log-harmonic mappings
ZhiHong Liu, Saminathan Ponnusamy
We consider the class univalent log-harmonic mappings on the unit disk. Firstly, we obtain necessary and sufficient conditions for a complex-valued continuous function to be starli…
Bohr radius for subordination and -quasiconformal harmonic mappings
ZhiHong Liu, Saminathan Ponnusamy
The present article concerns the Bohr radius for -quasiconformal sense-preserving harmonic mappings in the unit disk for which the analytic part…
Some properties of univalent log-harmonic mappings
ZhiHong Liu, Saminathan Ponnusamy
We determine the representation theorem, distortion theorem, coefficients estimate and Bohr's radius for log-harmonic starlike mappings of order , which are generalization of so…
Radius of fully starlikeness and fully convexity of harmonic linear differential operator
ZhiHong Liu, Saminathan Ponnusamy
Let be a normalized harmonic mapping in the unit disk $\ID$. In this paper, we obtain the sharp radius of univalence, fully starlikeness and fully convexity of t…
Univalency of convolutions of univalent harmonic right half-plane mappings
Zhihong Liu, Saminathan Ponnusamy
We consider the convolution of half-plane harmonic mappings with respective dilatations and , where and . We pro…
Univalent harmonic mappings and lift to the minimal surfaces
YuePing Jiang, ZhiHong Liu, Saminathan Ponnusamy
We construct sense-preserving univalent harmonic mappings which map the unit disk onto a domain which is convex in the horizontal direction, but with varying dilatation. Also, we o…