[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b160916

THIRD HANKEL DETERMINANTS FOR STARLIKE AND CONVEX FUNCTIONS OF ORDER ALPHA

Orhan, Halit (Department of Mathematics Faculty of Science Ataturk University)
Zaprawa, Pawel (Department of Mathematics Lublin University of Technology)

Publication Information

Bulletin of the Korean Mathematical Society / v.55, no.1, 2018 , pp. 165-173 More about this Journal

Abstract

In this paper we obtain the bounds of the third Hankel determinants for the classes $\mathcal{S}^*({\alpha})$ 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;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
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