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

被引：18
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}.
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页数：13
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