Higher-order q-derivatives and their applications to subclasses of multivalent Janowski type q-starlike functions

被引：7

作者：

Khan, Bilal ^{[1
,2
]}

Liu, Zhi-Guo ^{[1
,2
]}

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

Araci, Serkan ^{[6
]}

Khan, Nazar ^{[7
]}

Ahmad, Qazi Zahoor ^{[8
]}

机构：

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

[2] East China Normal Univ, Shanghai Key Lab PMMP, 500 Dongchuan Rd, Shanghai 200241, Peoples R China

[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] Hasan Kalyoncu Univ, Fac Econ Adm & Social Sci, Dept Econ, TR-27410 Gaziantep, Turkey

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

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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

关键词：

Analytic functions; Multivalent functions; q-Difference (or q-Derivative) operator; q-Starlike functions; Distortion theorems; Janowski functions; Radius problem; Coefficient inequalities; OPERATOR;

D O I：

10.1186/s13662-021-03611-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present investigation, with the help of certain higher- order q-derivatives, some new subclasses of multivalent q-starlike functions which are associated with the Janowski functions are defined. Then, certain interesting results, for example, radius problems and the results related to distortion, are derived. We also derive a sufficient condition and certain coefficient inequalities for our defined function classes. Some known consequences related to this subject are also highlighted. Finally, the well-demonstrated fact about the (p, q)-variations is also given in the concluding section.

引用

页数：15

共 37 条

[1]

Agarwal P., 2020, SPECIAL FUNCTIONS AN, P321

[2]

Agarwal P., 2018, C P ICFDA, P5

[3]

Agarwal P., 2017, ADV REAL COMPLEX ANA

[4]

[Anonymous], 1910, Q. J. Pure Appl. Math

[5] Coefficient Bounds for Certain Classes of Analytic Functions Associated with Faber Polynomial [J].

Attiya, Adel A. ;

Lashin, Abdel Moneim ;

Ali, Ekram E. ;

Agarwal, Praveen .

SYMMETRY-BASEL, 2021, 13 (02) :1-23

[6] q-difference equations. [J].

Jackson, FH .

AMERICAN JOURNAL OF MATHEMATICS, 1910, 32 :305-314

[7]

Janowski W., 1973, Ann. Pol. Math, V28, P297, DOI [10.4064/ap-28-3-297-326, DOI 10.4064/AP-28-3-297-326]

[8] A certain q-Ruscheweyh type derivative operator and its applications involving multivalent functions [J].

Khan, Bilal ;

Srivastava, H. M. ;

Arjika, Sama ;

Khan, Shahid ;

Khan, Nazar ;

Ahmad, Qazi Zahoor .

ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)

[9] Applications of Certain Conic Domains to a Subclass of q-Starlike Functions Associated with the Janowski Functions [J].

Khan, Bilal ;

Srivastava, Hari Mohan ;

Khan, Nazar ;

Darus, Maslina ;

Ahmad, Qazi Zahoor ;

Tahir, Muhammad .

SYMMETRY-BASEL, 2021, 13 (04)

[10] Applications of a certain q-integral operator to the subclasses of analytic and bi-univalent functions [J].

Khan, Bilal ;

Srivastava, H. M. ;

Tahir, Muhammad ;

Darus, Maslina ;

Ahmad, Qazi Zahoor ;

Khan, Nazar .

AIMS MATHEMATICS, 2021, 6 (01) :1024-1039

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