Analytic Functions Related to a Balloon-Shaped Domain

被引：7

作者：

Ahmad, Adeel ^{[1
]}

Gong, Jianhua ^{[2
]}

Al-Shbeil, Isra ^{[3
]}

Rasheed, Akhter ^{[4
]}

Ali, Asad ^{[1
]}

Hussain, Saqib ^{[4
]}

机构：

[1] Hazara Univ Mansehra, Dept Math & Stat, Mansehra 21120, Pakistan

[2] United Arab Emirates Univ, Dept Math Sci, Al Ain, U Arab Emirates

[3] Univ Jordan, Fac Sci, Dept Math, Amman 11942, Jordan

[4] COMSATS Univ Islamabad, Dept Math, Abbottabad 22060, Pakistan

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 12期

关键词：

analytic function; subordination; sharp upper bound; Hankel determinant; generalized domain; HANKEL DETERMINANT; COEFFICIENT; 3RD-ORDER; 2ND;

D O I：

10.3390/fractalfract7120865

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

One of the fundamental parts of Geometric Function Theory is the study of analytic functions in different domains with critical geometrical interpretations. This article defines a new generalized domain obtained based on the quotient of two analytic functions. We derive various properties of the new class of normalized analytic functions X defined in the new domain, including the sharp estimates for the coefficients a2,a3, and a4, and for three second-order and third-order Hankel determinants, H2,1X,H2,2X, and H3,1X. The optimality of each obtained estimate is given as well.

引用

页数：15

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