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math.CV2021★ 3 cited
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…
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.CV2021
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…