Hankel determinant H2,3 for starlike and convex functions

被引：0

作者：

Zaprawa, Pawel ^{[1
]}

机构：

[1] Lublin Univ Technol, Nadbystrzycka 38D, PL-20618 Lublin, Poland

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2024年 / 194卷

关键词：

Starlike functions; Convex functions; Univalent functions; Hankel determinant; Coefficient problems;

D O I：

10.1016/j.bulsci.2024.103459

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let f be analytic in the unit disk D = {z is an element of C : |z| < 1 }. We obtain bounds of |H (2 , 3) |, where H (2 ,3) = a( 3) a( 5 )- a( 4) (2) for two classes S( & lowast; )and k consisting of starlike and convex univalent functions, respectively. Additionally, we derive the sharp upper bounds of H- 2 ,H-3 in case of real coefficients. (c) 2024 The Author(s). Published by Elsevier Masson SAS. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/).

引用

页数：10

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