2025/10/17 by Gebreslassie atsbha weldegebrial, weldegebrial, Gebreslassie atsbha, Hunduma Legesse Geleta +1
Mathematics · #Analytic and geometric function theory #FOS: Electrical engineering #Holomorphic and Operator Theory #Meromorphic and Entire Functions #Signal Processing (eess.SP) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2510.15689
openalex publication_date 2025/10/17 · openalex created_date 2025/10/21 · openalex updated_date 2026/07/28
Many authors have examined various boundary behaviors of injective harmonic mappings in the open unit disk. Building on Laugesen's work, Bshouty and others explored the boundary behavior of harmonic mappings under different conditions. In this paper, we extend their work and find out the angular limits of the arguments and logarithms of analytic functions under various conditions. We also examined the dilatation possesses only a finite set of zeros within any stolz angle if the first derivative of harmonic function f at the boundary is positive infinity.