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arXiv · 2308.15913

The Landau-Bloch type theorems for certain class of holomorphic and pluriharmonic mappings in $\mathbb{c}^n$

Vasudeva Rao Allu·Rohit Kumar
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Abstract

In this paper, we first define two classes of holomorphic mappings defined on the unit ball $B^n$ of n-dimensional complex space $\mathbb{C}^n$ and obtain the lower estimates for Bloch's constant for these classes. Also, we derive the Landau-Bloch type theorem for some subclasses of pluriharmonic mappings defined on the unit ball $B^n$.

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Vasudeva Rao Allu, Rohit Kumar. 2023-08-30. The Landau-Bloch type theorems for certain class of holomorphic and pluriharmonic mappings in $\mathbb{c}^n$. https://arxiv.org/abs/2308.15913

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