Landau-type theorems for certain bounded poly-analytic and reduced poly-analytic functions

2025/08/23 by Allu, Vasudevarao, Biswas, Raju, Mandal, Rajib +1
#30C99 #31A30 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2508.17020

Abstract

The main aim of this paper is to establish several Landau-type theorems for certain bounded poly-analytic functions and reduced poly-analytic functions that generalize some previously established results.

Citations

• Advancements in Log-P-Analytic Functions: Landau-Type Theorems and Their Refinements
• Landau-type theorems for certain subclasses of poly-analytic functions
• The Landau-Bloch type theorems for certain class of holomorphic and pluriharmonic mappings in \mathbbcⁿ
• Landau-type theorems for certain bounded bi-analytic functions and biharmonic mappings
• Landau-Bloch type theorem for elliptic and K-quasiregular harmonic mappings
• Coefficient Conditions for Harmonic Univalent Mappings and Hypergeometric Mappings
• Sampling and interpolation in Bargmann-Fock spaces of polyanalytic functions

Related

• Landau-type theorems for certain subclasses of poly-analytic functions
• Landau-type Theorems for Polyanalytic and Log-α-analytic functions
• Advancements in Log-P-Analytic Functions: Landau-Type Theorems and Their Refinements
• Landau-type theorems for certain bounded bi-analytic functions and biharmonic mappings
• On the univalence of polyanalytic functions