Sharp coefficient inequalities of starlike functions connected with secant hyperbolic function

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-04-12 DOI:10.1186/s13660-024-03134-0

Mohsan Raza, Khadija Bano, Qin Xin, Fairouz Tchier, Sarfraz Nawaz Malik

引用次数: 0

Abstract

This article comprises the study of class $\mathcal{S}_{E}^{\ast }$ that represents the class of normalized analytic functions f satisfying ${\varsigma \mathsf{f}}^{\prime }(z)/\mathsf{f}( {\varsigma })\prec \sec h ( \varsigma ) $ . The geometry of functions of class $\mathcal{S}_{E}^{\ast }$ is star-shaped, which is confined in the symmetric domain of a secant hyperbolic function. We find sharp coefficient results and sharp Hankel determinants of order two and three for functions in the class $\mathcal{S}_{E}^{\ast }$ . We also investigate the same sharp results for inverse coefficients.

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与正割双曲函数相连的星状函数的锐系数不等式

本文包括对类 $\mathcal{S}_{E}^{\ast }$ 的研究，该类表示满足 ${\varsigma \mathsf{f}}^{\prime }(z)/\mathsf{f}( {\varsigma })\prec \sec h ( \varsigma ) $ 的归一化解析函数 f。类 $\mathcal{S}_{E}^{\ast }$ 函数的几何形状是星形的，它被限制在 secant 双曲函数的对称域中。对于 $\mathcal{S}_{E}^{ast }$ 类函数，我们发现了尖锐的系数结果和二阶和三阶尖锐的汉克尔行列式。我们还研究了反系数的同样尖锐结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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