Fekete-Szego Type Problems and Their Applications for a Subclass of q-Starlike Functions with Respect to Symmetrical Points

被引：29

作者：

Srivastava, Hari Mohan ^{[1
,2
,3
]}

Khan, Nazar ^{[4
]}

Darus, Maslina ^{[5
]}

Khan, Shahid ^{[6
]}

Ahmad, Qazi Zahoor ^{[4
]}

Hussain, Saqib ^{[7
]}

机构：

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

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

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

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

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

[6] Riphah Int Univ Islamabad, Dept Math, Islamabad 44000, Pakistan

[7] Comsats Univ Islamabad, Dept Math, Abbottabad Campus, Abbottabad 22010, Pakistan

来源：

MATHEMATICS | 2020年 / 8卷 / 05期

关键词：

analytic functions; quantum (orq-) calculus; conic domain; q-derivative operator; Hankel determinant; Toeplitz matrices; Fekete-Szego problem; q-Bernardi integral operator; COEFFICIENT INEQUALITIES; CONVEX;

D O I：

10.3390/math8050842

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, by using the concept of the quantum (orq-) calculus and a general conic domain Omega(k,q), we study a new subclass of normalized analytic functions with respect to symmetrical points in an open unit disk. We solve the Fekete-Szego type problems for this newly-defined subclass of analytic functions. We also discuss some applications of the main results by using aq-Bernardi integral operator.

引用

页数：18

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