The Second Hankel Determinant of Logarithmic Coefficients for Starlike and Convex Functions Involving Four-Leaf-Shaped Domain

被引：3

作者：

Alshehry, Azzh Saad ^{[1
]}

Shah, Rasool ^{[2
]}

Bariq, Abdul ^{[3
]}

机构：

[1] Princess Nourah Bint Abdulrahman Univ, Fac Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia

[2] Abdul Wali Khan Univ Mardan, Dept Math, Mardan, Pakistan

[3] Laghman Univ, Dept Math, Mehtarlam, Laghman, Afghanistan

来源：

JOURNAL OF FUNCTION SPACES | 2022年 / 2022卷

关键词：

3RD KIND; INEQUALITY; CONJECTURE;

D O I：

10.1155/2022/2621811

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this particular research article, we take an analytic function (Q4L)=1+5/6z+1/6z(5), which makes a four-leaf-shaped image domain. Using this specific function, two subclasses, S-4L* and C-4L, of starlike and convex functions will be defined. For these classes, our aim is to find some sharp bounds of inequalities that consist of logarithmic coefficients. Among the inequalities to be studied here are Zalcman inequalities, the Fekete-Szego inequality, and the second-order Hankel determinant.

引用

页数：10

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