2022/03/16 by Sushil Kumar, Kumar, Sushil, Swati Anand +3
Mathematics · #30C45 #30C80 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.2203.08704
openalex publication_date 2022/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper aims to pursue some classes of normalized analytic functions f with fixed second coefficient defined on open unit disk, such that (1+z)2f(z)/z and (1+z)f(z)/z are functions having positive real part. The radius of strongly starlikeness, the radius of lemniscate starlikeness, the radius of parabolic starlikeness and other starlikeness estimates are calculated for such functions. As well relevant connections of computed radii estimates with the existing one are also shown.