2024/08/11 by Nisha Bohra, Bohra, Nisha, Gopal Datt +3
Mathematics · #Advanced Differential Equations and Dynamical Systems #Complex Variables (math.CV) #FOS: Mathematics #Fixed Point Theorems Analysis #Meromorphic and Entire Functions
paper · pdf · doi:10.48550/arxiv.2408.05809
openalex publication_date 2024/08/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A harmonic mapping f=h+g in \mathbbD is φ-normal if f#(z)=O(|φ(z)|), as |z|→ 1-, where f#(z)=(|h'(z)|+|g'(z)|)/(1+|f(z)|2). In this paper, we establish several sufficient conditions for harmonic mappings to be φ-normal. We also extend the five-point theorem of Lappan for φ-normal harmonic mappings.