Harmonic Functions with Montel’s Normalization

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.