Year: 2025
Type: article
Abstract: In the Geometric Theory of Analytic Functions, classes of functions with several normalizations are considered. We consider the symmetric idea for harmonic functions. Classes of harmonic functions f with normalization f0=fz¯′0=0,fz′0=1 are usually considered in the geometric theory of harmonic functions. The normalization is called the classical normalization. We can obtain some interesting results by using Montel’s normalization f0=fz¯′0=0,fz′ρ−fz¯′ρ=1, where ρ∈[0,1). In the paper, we consider the class of harmonic functions with Montel’s normalization associated with the generalized hypergeometric function.
Source: Symmetry
DOI: 10.3390/sym17050720
Author: Jacek Dziok
Institution: University of Rzeszów
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,896
OpenAlex ID: W4410207404