2021/05/18 by Kamaljeet Gangania, Gangania, Kamaljeet, S. Sivaprasad Kumar +1
Mathematics · #30C45 #30C50 #30C80 #Algebraic and Geometric Analysis #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.2105.08684
openalex publication_date 2021/05/18 · openalex created_date 2022/09/14 · openalex updated_date 2026/07/28
In Geometric function theory, occasionally attempts have been made to solve a particular problem for the Ma-Minda classes, S^*(ψ) and C(ψ) of univalent starlike and convex functions, respectively. Recently, a popular radius problem generally known as Bohr's phenomenon has been studied in various settings, however little is known about Rogosinski radius. In this article, for a fixed f∈ S^*(ψ) or C(ψ), the class of analytic subordinants Sf(ψ):= \g : g\prec f \ is studied for the Bohr-Rogosinski phenomenon in a general setting. It's applications to the classes S^*(ψ) and C(ψ) are also shown.