On the Fekete--Szeg\"{o} type functionals for starlike and convex functions
On the Fekete--Szeg\"{o} type functionals for starlike and convex functions
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,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK