3 citations · 3 across the 6 of their papers we have counts for
6 papers · 1 filter
Landau-type Theorems for Polyanalytic and Log--analytic functions
P. Li, M. -S. Liu, S. Ponnusamy +1
In the present article, we investigate the univalence property of polyanalytic functions and --analytic functions. First, by using a new idea, we prove an improved lemma a…
Multidimensional analogues of the refined versions of Bohr inequalities involving Schwarz mappings
Shanshan Jia, Ming-Sheng Liu, Saminathan Ponnusamy
Our first aim of this article is to establish several new versions of refined Bohr inequalities for bounded analytic functions in the unit disk involving Schwarz functions. Secondl…
Bloch and Landau type theorems for pluriharmonic mappings
Ming-Sheng Liu, Saminathan Ponnusamy
In this paper, we establish two new versions of Landau-type theorems for pluriharmonic mappings with a bounded distortion. Then using these results, we derive three Bloch-type theo…
Generalization of Bohr-type inequality in analytic functions
Rou-Yuan Lin, Ming-Sheng Liu, Saminathan Ponnusamy
This paper mainly uses the nonnegative continuous function to redefine the Bohr radius for the class of analytic functions satisfying in…
Bohr-type inequalities for harmonic mappings with a multiple zero at the origin
Yong Huang, Ming-Sheng Liu, Saminathan Ponnusamy
In this paper, we first determine Bohr's inequality for the class of harmonic mappings in the unit disk $\ID$, where either both $h(z)=\sum_{n=0}^{\infty}a_{pn+m…
Multidimensional analogues of refined Bohr's inequality
Ming-Sheng Liu, Saminathan Ponnusamy
In this paper, we first establish a version of multidimensional analogues of the refined Bohr's inequality. Then we establish two versions of multidimensional analogues of improved…