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

Authors :
Allu, Vasudeva Rao
Kumar, Rohit
Publication Year :
2023

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 $B^n$.<br />Comment: 17

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2308.15913
Document Type :
Working Paper