Second Hankel determinant of logarithmic coefficients of certain analytic functions

2021/10/11 by Allu, Vasudevarao, Arora, Vibhuti
#30C45 #30C50 #30C55 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2110.05161

Abstract

We consider a family of all analytic and univalent functions (i.e., one-to-one) in the unit disk \mathbbD:=\z∈ ℂ:|z|<1\ of the form f(z)=z+a₂z²+a₃z³+⋯. In this paper, we obtain the sharp bounds of the second Hankel determinant of Logarithmic coefficients for some subclasses of analytic functions.

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