Applications of higher-order q-derivatives to the subclass of q-starlike functions associated with the Janowski functions

被引：39

作者：

Rehman, Muhammad Sabil Ur ^{[1
]}

Ahmad, Qazi Zahoor ^{[1
,2
]}

Srivastava, H. M. ^{[3
,4
,5
]}

Khan, Nazar ^{[1
]}

Darus, Maslina ^{[6
]}

Khan, Bilal ^{[7
]}

机构：

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

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

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

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

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

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

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

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 02期

关键词：

multivalent functions; univalent functions; convex and q-convex functions; starlike and q-starlike functions; q-Derivative operator; UNIVALENT-FUNCTIONS; INEQUALITY;

D O I：

10.3934/math.2021067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first investigate some subclasses of q-starlike functions. We then apply higher-order q-derivative operators to introduce and study a new subclass of q-starlike functions, which involves the Janowski functions. Several coe fficient inequalities and a su fficient condition are derived. Relevant connections with a number of earlier works on this subject are also pointed out.

引用

页码：1110 / 1125

页数：16

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