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

DOI

10.3906/mat-1702-120

Keywords

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

First Page

537

Last Page

547

Recommended Citation

ZAPRAWA, P (2018). On the Fekete--Szeg\"{o} type functionals for starlike and convex functions. Turkish Journal of Mathematics 42 (2): 537-547. https://doi.org/10.3906/mat-1702-120

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