Coefficient Estimates for a Subclass of Analytic Functions Associated with a Certain Leaf-Like Domain

被引：30

作者：

Khan, Bilal ^{[1
]}

Srivastava, Hari M. ^{[2
,3
,4
]}

Khan, Nazar ^{[5
]}

Darus, Maslina ^{[6
]}

Tahir, Muhammad ^{[5
]}

Ahmad, Qazi Zahoor ^{[7
]}

机构：

[1] East China Normal Univ, Sch Math Sci, 500 Dongchuan Rd, Shanghai 200241, Peoples R China

[2] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

[4] Azerbaijan Univ, Dept Math & Informat, 71 Jeyhun Hajibeyli St, AZ-1007 Baku, Azerbaijan

[5] Abbottabad Univ Sci & Technol, Dept Math, Abbottabad 22010, Pakistan

[6] Univ Kebangsaan Malaysia, Fac Sci & Technol, Dept Math Sci, Bangi 43600, Selangor, Malaysia

[7] Govt Akhtar Nawaz Khan Shaheed Degree Coll KTS, Haripur 22620, Pakistan

来源：

MATHEMATICS | 2020年 / 8卷 / 08期

关键词：

analytic functions; univalent functions; bounded turning functions; q-derivative (orq-difference) operator; principle of subordination between analytic functions; leaf-like domain; coefficient estimates; Taylor-Maclaurin coefficients; Fekete-Szego problem; Hankel determinant; Q-STARLIKE FUNCTIONS; HANKEL DETERMINANT; INVERSE; INEQUALITY; BOUNDS;

D O I：

10.3390/math8081334

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

First, by making use of the concept of basic (or q-) calculus, as well as the principle of subordination between analytic functions, generalization R-q(h) of the class R(h) of analytic functions, which are associated with the leaf-like domain in the open unit disk U, is given. Then, the coefficient estimates, the Fekete-Szego problem, and the second-order Hankel determinant H-2(1) for functions belonging to this class R-q(h) are investigated. Furthermore, similar results are examined and presented for the functions z/f(z) and f(-1)(z). For the validity of our results, relevant connections with those in earlier works are also pointed out.

引用

页数：15

共 39 条

[1] Certain q-Difference Operators and Their Applications to the Subclass of Meromorphic q-Starlike Functions [J].