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The Landau-Bloch type theorems for certain class of holomorphic and pluriharmonic mappings in $\mathbb{c}^n$
- 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
- Subjects :
- Mathematics - Complex Variables
31C10, 30C50, 31A05, 32A18, 30C62, 30C45
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2308.15913
- Document Type :
- Working Paper