CERTAIN PROPERTIES OF THE CLASS OF UNIVALENT FUNCTIONS WITH REAL COEFFICIENTS

被引：0

作者：

Obradovic, Milutin ^{[1
]}

Tuneski, Nikola ^{[2
]}

机构：

[1] Univ Belgrade, Fac Civil Engn, Dept Math, Bulevar Kralja Aleksandra 73, Belgrade 11000, Serbia

[2] Ss Cyril & Methodius Univ Skopje, Fac Mech Engn, Dept Math & Informat, Karpos II b b, Skopje 1000, North Macedonia

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2023年 / 60卷 / 05期

关键词：

Univalent; real coefficients; logarithmic coefficients; coefficient estimates; Hankel determinant; Zalcman conjecture; HANKEL DETERMINANT; 3RD KIND; STARLIKE;

D O I：

10.4134/BKMS.b220643

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let U+ be the class of analytic functions f such that z / f(z) has real and positive coefficients and f(-1) be its inverse. In this paper we give sharp estimates of the initial coefficients and initial logarithmic coefficients for f, as well as, sharp estimates of the second and the third Hankel determinant for f and f(-1). We also show that the Zalcman conjecture holds for functions f from U+.

引用

页码：1253 / 1263

页数：11

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