3 papers
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 in the unit disk. Later,…
math.CV2021
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…
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…