Hankel Determinants for the Logarithmic Coefficients of a Subclass of Close-to-Star Functions-Reference-Cited by-同舟云学术

Hankel Determinants for the Logarithmic Coefficients of a Subclass of Close-to-Star Functions

Published:2024-05-29 Issue: Volume:2024 Page:1-12
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Guo Dong¹^ORCID,Tang Huo²,Zhang Jun³,Xu Qingbing⁴^ORCID,Li Zongtao⁵

Affiliation:

1. School of Mathematical Sciences, Yangzhou Polytechnic College, Yangzhou 225009, China

2. School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, China

3. Students’ Affairs Office, Chuzhou Polytechnic College, Chuzhou 239000, China

4. Department of Basic Courses, Chuzhou Polytechnic College, Chuzhou 239000, China

5. Faculty of Humanities and Social Sciences, Guangzhou Civil Aviation College, Guangzhou 510403, China

Abstract

Suppose that ST1 is a class of close-to-star functions. In this paper, we investigated the estimate of Zalcman functional on the logarithmic coefficients and the third Hankel determinant for the class ST1 with the determinant entry of logarithmic coefficients. Also, we obtained the sharp bounds of Zalcman functional J2,4f and J3,3f for the class ST1.

Funder

Anhui Provincial Department of Education

Publisher

Hindawi Limited

Link

http://downloads.hindawi.com/journals/jmath/2024/1315252.pdf

Reference23 articles.

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