Third Hankel Determinant for Subclasses of Analytic and m-Fold Symmetric Functions Involving Cardioid Domain and Sine Function

被引：3

作者：

Alahmade, Ayman ^{[1
]}

Mujahid, Zeeshan ^{[2
]}

Tawfiq, Ferdous M. O. ^{[3
]}

Khan, Bilal ^{[4
]}

Khan, Nazar ^{[2
]}

Tchier, Fairouz ^{[3
]}

机构：

[1] Taibah Univ, Coll Sci & Art, Dept Math, AlUla Branch, Medina 42353, Saudi Arabia

[2] Abbottabad Univ Sci & Technol, Dept Math, Abbottabad 22500, Pakistan

[3] King Saud Univ, Coll Sci, Dept Math, Riyadh 22452, Saudi Arabia

[4] East China Normal Univ, Sch Math Sci, Shanghai Key Lab PMMP, 500 Dongchuan Rd, Shanghai 200241, Peoples R China

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 11期

关键词：

analytic functions; cardioid domain starlike functions; Hankel determinant; subordination; m-fold symmetric functions; STARLIKE FUNCTIONS; CONVOLUTION PROPERTIES; INEQUALITIES; BOUNDS; 2ND;

D O I：

10.3390/sym15112039

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this research, we define a few subclasses of analytic functions which are connected to sine functions and the cardioid domain in the unit disk. We investigate initial coefficient bounds, the Fekete-Szego problem and second and third Hankel determinants for the functions f belonging to these newly defined classes. We also define the class of m-fold symmetric functions related with the sine function and then investigate the bounds of the third Hankel determinant for twofold symmetric and threefold symmetric functions.

引用

页数：15

共 41 条

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