THIRD HANKEL DETERMINANTS FOR STARLIKE AND CONVEX FUNCTIONS OF ORDER ALPHA

被引：8
|
作者：
Orhan, Halit [1 ]
Zaprawa, Pawel [2 ]
机构：
[1] Ataturk Univ, Fac Sci, Dept Math, Erzurum, Turkey
[2] Lublin Univ Technol, Dept Math, Nadbystrzycka 38D, PL-20618 Lublin, Poland
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2018年 / 55卷 / 01期
关键词：
Hankel determinant; starlike functions; convex functions; n-fold symmetric functions;
D O I：
10.4134/BKMS.b160916
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we obtain the bounds of the third Hankel determinants for the classes S*(alpha) of starlike functions of order alpha and 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.
引用
收藏
页码：165 / 173
页数：9
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