Asymptotic Bohr Radius for the Polynomials in One Complex Variable

2014/03/25 by Cheng Chu, Chu, Cheng
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #math.CV

paper · pdf · doi:10.48550/arxiv.1403.6513

arxiv created 2014/04/03 · arxiv updated 2014/04/07

Abstract

We consider the Bohr radius R_n for the class of complex polynomials in one variable of degree at most n. It was conjectured by R. Fournier in 2008 that R_n=1\over 3+π²\over 3n²+o(1\over n²). We shall prove this conjecture is true in this paper.

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