On the Fekete--Szeg\"{o} type functionals for starlike and convex functions

Authors

PAWEL ZAPRAWA

DOI

10.3906/mat-1702-120

Abstract

In the paper we discuss two functionals of the Fekete--Szeg\"{o} type: $\Phi_f(\mu) = a_2 a_4-\mu a_3{}^2$ and $\Theta_f(\mu) = a_4-\mu a_2a_3$ for an analytic function $f(z) = z+a_2z^2+a_3z^3+\ldots$, $z\in\Delta$, ($\Delta = \{z\in\mathbb{C}: z

Keywords

Starlike functions, convex functions, Hankel determinant, functional of Fekete--Szeg\"{o} type

First Page

537

Last Page

547

Recommended Citation

ZAPRAWA, PAWEL (2018) "On the Fekete--Szeg\"{o} type functionals for starlike and convex functions," Turkish Journal of Mathematics: Vol. 42: No. 2, Article 10. https://doi.org/10.3906/mat-1702-120
Available at: https://journals.tubitak.gov.tr/math/vol42/iss2/10