4 papers · 1 filter
On the elliptic harmonic mappings and sense-preserving harmonic mappings
Ming-Sheng Liu, Hao XU
In this paper, we first establish two versions of Landau-Bloch type theorem for -elliptic harmonic mappings with a bounded minimum distortion. Next, we provide several coef…
The Bohr-type operator on analytic functions and sections
Yong Huang, Ming-Sheng Liu, Saminathan Ponnusamy
In this paper, firstly we prove two refined Bohr-type inequalities associated with area for bounded analytic functions in the unit disk. Later,…
Refined Bohr-type inequalities with area measure for bounded analytic functions
Yong Huang, Ming-Sheng Liu, Saminathan Ponnusamy
In this paper, we establish five new sharp versions of Bohr-type inequalities for bounded analytic functions in the unit disk by allowing Schwarz function in place of the initial c…
Bohr's phenomenon for the classes of Quasi-subordination and -quasiregular harmonic mappings
Ming-Sheng Liu, Saminathan Ponnusamy, Jun Wang
In this paper, we investigate the Bohr radius for -quasiregular sense-preserving harmonic mappings in the unit disk such that the translated anal…