- Turkish Journal of Mathematics
- Vol: 42 Issue: 2
- On the Fekete--Szeg"{o} type functionals for starlike and convex functions
On the Fekete--Szeg"{o} type functionals for starlike and convex functions
Authors : Pawel Zaprawa
Pages : 537-547
View : 6 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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