Ming-Sheng Liu

activity

20202024

collaborators

6 papers

math.CV2024

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 $(K, K^{'})$ -elliptic harmonic mappings with a bounded minimum distortion. Next, we provide several coef…

math.CV2023

Bohr-type inequalities for unimodular bounded analytic functions

Kaixin Chen, Ming-Sheng Liu, Saminathan Ponnusamy

In this paper, we establish several new versions of Bohr-type inequalities for bounded analytic functions in the unit disk by allowing $φ = {φ_{n} (r)}_{n = 0}^{\infty}$ in place of the…

math.CV2023

Landau-type theorems for certain bounded bi-analytic functions and biharmonic mappings

Ming-Sheng Liu, Saminathan Ponnusamy

In this paper, we establish three new versions of Landau-type theorems for bounded bi-analytic functions of the form $F (z) = z ˉ G (z) + H (z)$ , where $G$ and $H$ are analytic in the…

math.CV2021

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 $f (z) = \sum_{n = 0}^{\infty} a_{n} z^{n}$ in the unit disk. Later,…

math.CV2020

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…

math.CV2020

Bohr's phenomenon for the classes of Quasi-subordination and $K$ -quasiregular harmonic mappings

Ming-Sheng Liu, Saminathan Ponnusamy, Jun Wang

In this paper, we investigate the Bohr radius for $K$ -quasiregular sense-preserving harmonic mappings $f = h + g$ in the unit disk $D$ such that the translated anal…