Hankel determinant of second order for some classes of analytic functions

Milutin Obradovic; Nikola Tuneski

Hankel determinant of second order for some classes of analytic functions

Complex Variables 2019-12-30 v2

Authors: Milutin Obradovic , Nikola Tuneski

Abstract

Let $f$ be analytic in the unit disk $\mathbb D$ and normalized so that $f(z)=z+a_2z^2+a_3z^3+\cdots$ . In this paper, we give upper bounds of the Hankel determinant of second order for the classes of starlike functions of order $\alpha$ , Ozaki close-to-convex functions and two other classes of analytic functions. Some of the estimates are sharp.

Keywords

Hankel determinant second order starlike functions Ozaki close-to-convex functions analytic functions upper bounds

Cite

@article{arxiv.1903.08069,
  title  = {Hankel determinant of second order for some classes of analytic functions},
  author = {Milutin Obradovic and Nikola Tuneski},
  journal= {arXiv preprint arXiv:1903.08069},
  year   = {2019}
}

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