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- Chinese Academy of SciencesCN21 papers
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4 papers · 1 filter
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…
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…
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…