38 citations · 224 across the 67 of their papers we have counts for
8 papers · 1 filter
On characterizations of Bloch-type, Hardy-type and Lipschitz-type spaces
Shaolin Chen, Saminathan Ponnusamy, Antti Rasila
In this paper, we establish a Bloch-type growth theorem for generalized Bloch-type spaces and discuss relationships between Dirichlet-type spaces and Hardy-type spaces on certain c…
Yukawa Potential, Panharmonic Measure and Brownian Motion
Antti Rasila, Tommi Sottinen
In [25] a Walk On Spheres (WOS) algorithm for Monte Carlo simulation of the solutions of the Yukawa and the Helmholtz PDE's was developed by using the so-called Duffin corresponden…
Coefficient estimates and the Fekete-Szeg\H o problem for certain classes of polyharmonic mappings
Jiaolong Chen, Antti Rasila, Xiantao Wang
We give coefficient estimates for a class of close-to-convex harmonic mappings, and discuss the Fekete-Szegő problem of it. We also introduce two classes of polyharmonic mappings $…
Lengths, areas and Lipschitz-type spaces of planar harmonic mappings
Shaolin Chen, Saminathan Ponnusamy, Antti Rasila
In this paper, we establish a three circles type theorem, involving the harmonic area function, for harmonic mappings. Also, we give bounds for length and area distortion for harmo…
Landau's theorem for polyharmonic mappings
Jiaolong Chen, Antti Rasila, Xiantao Wang
In this paper, we first investigate coefficient estimates for bounded polyharmonic mappings in the unit disk . Then, we obtain two versions of Landau's theorem for poly…
Starlikeness and convexity of polyharmonic mappings
Jiaolong Chen, Antti Rasila, Xiantao Wang
In this paper, we first find an estimate for the range of polyharmonic mappings in the class . Then, we obtain two characterizations in terms of the convolution for pol…