Third Hankel determinants for starlike and convex functions of order alpha
Bull. Korean Math. Soc. 2018 Vol. 55, No. 1, 165-173
Published online January 31, 2018
Halit Orhan, Pawe{\l} Zaprawa
Atat\"{u}rk University, Lublin University of Technology
Abstract : 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.
Keywords : Hankel determinant, starlike functions, convex functions, $n$-fold symmetric functions
MSC numbers : 30C50
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