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

页码：165 / 173

页数：9

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