The sharp bound of the third Hankel determinant for functions of bounded turning

被引：22

作者：

Kowalczyk, Bogumila ^{[1
]}

Lecko, Adam ^{[1
]}

机构：

[1] Univ Warmia & Mazury, Dept Complex Anal, Fac Math & Comp Sci, Ul Sloneczna 54, PL-10710 Olsztyn, Poland

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2021年 / 27卷 / 03期

关键词：

Univalent function; Function of bounded turning; Hankel determinant; Caratheodory function; Coefficient; COEFFICIENTS; INVERSE;

D O I：

10.1007/s40590-021-00383-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We find the sharp bound for the third Hankel determinant H-3,H-1(f) :=vertical bar a(1) a(2) a(3) a(2) a(3) a(4) a(3) a(4) a(5)vertical bar for analytic functions f with a(n) := f((n))(0)=n!, n is an element of N, a(1) := 1, such that Ref'(z) > 0, z is an element of D := {z is an element of C : vertical bar z vertical bar , 1}.

引用

页数：13

共 24 条

[1] Functions which map the interior of the unit circle upon simple regions. [J].