English

Second Hankel determinant of logarithmic coefficients of certain analytic functions

Complex Variables 2021-12-09 v2

Abstract

We consider a family of all analytic and univalent functions (i.e., one-to-one) in the unit disk D:={zC:z<1}\mathbb{D}:=\{z\in \mathbb{C}:|z|<1\} of the form f(z)=z+a2z2+a3z3+f(z)=z+a_2z^2+a_3z^3+\cdots. In this paper, we obtain the sharp bounds of the second Hankel determinant of Logarithmic coefficients for some subclasses of analytic functions.

Keywords

Cite

@article{arxiv.2110.05161,
  title  = {Second Hankel determinant of logarithmic coefficients of certain analytic functions},
  author = {Vasudevarao Allu and Vibhuti Arora},
  journal= {arXiv preprint arXiv:2110.05161},
  year   = {2021}
}