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Third Hankel determinants for starlike and convex functions of order alpha
Halit Orhan,Paweł Zaprawa 대한수학회 2018 대한수학회보 Vol.55 No.1
In this paper we obtain the bounds of the third Hankel determinants for the classes $\mathcal{S}^\ast(\alpha)$ of starlike functions of order $\alpha$ and $\mathcal{K}(\alpha)$ of convex functions of order $\alpha$. Moreover,we derive the sharp bounds for functions in these classes which are additionally 2-fold or 3-fold symmetric.