Third Hankel determinants for starlike and convex functions of order alpha

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 additio...

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Bibliographic Details
Published in:Taehan Suhakhoe hoebo 2018, 55(1), , pp.165-173
Main Authors: Halit Orhan, Paweł Zaprawa
Format: Article
Language:English
Subjects:
수학
Online Access:Get full text
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Summary: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. KCI Citation Count: 4
ISSN:1015-8634
2234-3016
DOI:10.4134/BKMS.b160916