The Landau–Bloch type theorems for certain class of holomorphic and pluriharmonic mappings in C^n

Authors

  • Vasudevarao Allu Indian Institute of Technology Bhubaneswar, School of Basic Science, Department of Mathematics
  • Rohit Kumar Indian Institute of Technology Bhubaneswar, School of Basic Science, Department of Mathematics

DOI:

https://doi.org/10.54330/afm.160790

Keywords:

Holomorphic mapping, quasiregular mapping, (K,K')-elliptic mapping, quasiconformal mapping, Landau–Bloch type theorem, pluriharmonic mapping

Abstract

In this paper, we 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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Published

2025-04-10

Issue

Vol. 50 No. 1 (2025)

Section

Articles

License

Copyright (c) 2025 Annales Fennici Mathematici

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Allu, V., & Kumar, R. (2025). The Landau–Bloch type theorems for certain class of holomorphic and pluriharmonic mappings in C^n. Annales Fennici Mathematici, 50(1), 215–229. https://doi.org/10.54330/afm.160790