Radius of Starlikeness for Bloch Functions

2020/11/18 by Somya Malik, Malik, Somya, V. Ravichandran +1
Mathematics · #30C45 #30C80 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.2011.09234

openalex publication_date 2020/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For normalised analytic functions f defined on the open unit disc \mathbbD satisfying the condition sup_z∈ \mathbbD(1-|z²|) |f'(z)|≤ 1, known as Bloch functions, we determine various starlikeness radii.

Citations

• Starlike functions associated with a cardioid

Related

• Radius of Starlikeness for Classes of Analytic Functions
• Starlikeness for Certain Close-to-Star Functions
• Radius of Starlikeness of Certain Analytic Functions
• Radius of starlikeness for some classes containing non-univalent functions
• Starlikeness of Certain Non-Univalent Functions