The Second Hankel Determinant of Logarithmic Coefficients for Strongly Ozaki Close-to-Convex Functions

被引：4

作者：

Eker, Sevtap Suemer ^{[1
]}

Lecko, Adam ^{[2
]}

Cekic, Bilal ^{[1
]}

Seker, Bilal ^{[1
]}

机构：

[1] Dicle Univ, Fac Sci, Dept Math, Diyarbakir, Turkiye

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

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2023年 / 46卷 / 06期

关键词：

Logarithmic coefficient; Hankel determinant; Strongly Ozaki close-to-convex;

D O I：

10.1007/s40840-023-01580-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to determine sharp bound for the second Hankel determinant of logarithmic coefficients H-2,H-1(F-f/2) of strongly Ozaki close-to-convex functions in the open unit disk. Furthermore, sharp bound of H-2,H-1(F-f-1/2), where f(-1) is the inverse function of f, is also computed. The results show an invariance property of the second Hankel determinants of logarithmic coefficients H-2,H-1(F-f/2) and H-2,H-1(F-f-1/2) for strongly convex functions.

引用

页数：23

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