56 citations · 367 across the 127 of their papers we have counts for
12 papers · 2 filters
Harmonic Close-to-convex Functions and Minimal Surfaces
S. Ponnusamy, A. Rasila, A. Sairam Kaliraj
In this paper, we study the family of sense-preserving complex-valued harmonic functions that are normalized close-to-convex functions on the open unit dis…
Coefficient estimates, Landau's theorem and Lipschitz-type spaces on planar harmonic mappings
Shaolin Chen, Saminathan Ponnusamy, Antti Rasila
In this paper, we investigate the properties of locally univalent and multivalent planar harmonic mappings. First, we discuss the coefficient estimates and Landau's Theorem for som…
Univalent harmonic mappings with integer or half-integer coefficients
S. Ponnusamy, J. Qiao
Let denote the set of all univalent analytic functions on the unit disk . In 1946 B. Friedman found that the set $\mathcal…
On quasisymmetry of quasiconformal mappings and its applications
M. Huang, S. Ponnusamy, A. Rasila +1
Suppose that is a quasiconformal mapping, where and are domains in , and that is a broad domain. Then for every arcwise connected subset $A…
Convolutions of slanted half-plane harmonic mappings
Liulan Li, S. Ponnusamy
Let denote the class of all univalent, harmonic, sense-preserving and normalized mappings of the unit disk $\ID$ onto the slanted half-plane $H_γ:=\{w:\,{…
Weighted Lipschitz continuity, Schwarz-Pick's Lemma and Landau-Bloch's theorem for hyperbolic-harmonic mappings in
Sh. Chen, S. Ponnusamy, X. Wang
In this paper, we discuss some properties on hyperbolic-harmonic mappings in the unit ball of . First, we investigate the relationship between the weighted Lipschit…