Radius Constants for Analytic Functions with Fixed Second Coefficient

2012/07/17 by Rosihan M. Ali, Ali, Rosihan M., Moradi Nargesi Mahnaz +3
Mathematics · #30C45 #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.1207.3950

openalex publication_date 2012/07/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let f(z)=z+∑_n=2^∞a_nzⁿ be analytic in the unit disk with second coefficient a₂ satisfying |a₂|=2b, 0≤ b≤1. Sharp radius of Janowski starlikeness and other radius constants are obtained when |a_n|≤ cn+d (c,d≥0) or |a_n|≤ c/n (c>0) for n≥3.

Citations

• On uniformly starlike functions

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