2021/08/12 by Vasudevarao Allu, Allu, Vasudevarao, Himadri Halder +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.2108.05899
openalex publication_date 2021/08/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article, we introduce the class B*H,Ω(α) of harmonic α-Bloch-type mappings on Ω as a generalization of the class BH,Ω(α) of harmonic α-Bloch mappings on Ω, where Ω is arbitrary proper simply connected domain in the complex plane. We study several interesting properties of the classes BH,Ω(α) and B*H,Ω(α) on arbitrary proper simply connected domain Ω and on the shifted disk Ωγ containing \mathbbD, where Ωγ:=\z∈ℂ : |z+\fracγ1-γ|