Some Results on Coefficient Estimate Problems for Four-Leaf-Type Bounded Turning Functions

Author:

Wen Chuanjun1,Li Zongtao2,Guo Dong1

Affiliation:

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

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

Abstract

Let BT4l denote a subclass of bounded turning functions connected with a four-leaf-type domain. The goal of the study is to probe into the bounds of coefficients |b6|,|b7|,|b8|, the bounds of the logarithmic coefficients, and the third-order determinants |H3,1|,|H3,2|,|H3,3| for the functions in this class.

Publisher

MDPI AG

Reference19 articles.

1. On the coefficients and Hankel determinants of univalent functions;Pommerenke;J. Lond. Math. Soc.,1966

2. On the Hankel determinants of univalent functions;Pommerenke;Mathematika,1967

3. On H3(1) Hankel determinant for some classes of univalent functions;Babalola;Inequal. Theory Appl.,2010

4. The sharp bounds of the second and third Hankel determinats for the class SL*;Banga;Math. Slovaca,2020

5. The second and third Hankel determinants for starlike and convex functions associated with three-leaf function;Riaz;Heliyon,2023

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