An extremal problem for univalent functions

2015/02/18 by Toshiyuki Sugawa, Sugawa, Toshiyuki, Wang, Li-Mei
Mathematics · #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Primary 30C45 #Secondary 30C75

paper · pdf · doi:10.48550/arxiv.1502.05126

openalex publication_date 2015/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a real constant b, we give sharp estimates of log|f(z)/z|+barg[f(z)/z] for subclasses of normalized univalent functions f on the unit disk.

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