Q-Extension of Starlike Functions Subordinated with a Trigonometric Sine Function

被引：14

作者：

Islam, Saeed ^{[1
,2
]}

Khan, Muhammad Ghaffar ^{[3
]}

Ahmad, Bakhtiar ^{[4
]}

Arif, Muhammad ^{[3
]}

Chinram, Ronnason ^{[5
]}

机构：

[1] Ton Duc Thang Univ, Informetr Res Grp, Ho Chi Minh City 70000, Vietnam

[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City 70000, Vietnam

[3] Abdul Wali Khan Univ Mardan, Dept Math, Mardan 23200, Pakistan

[4] Govt Degree Coll Mardan, Mardan 23200, Pakistan

[5] Prince Songkla Univ, Div Computat Sci, Fac Sci, Hat Yai 90110, Songkhla, Thailand

来源：

MATHEMATICS | 2020年 / 8卷 / 10期

关键词：

starlike functions; subordination; q-derivative operator; sine function; PARTIAL-SUMS; SUBCLASS; RADIUS;

D O I：

10.3390/math8101676

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main purpose of this article is to examine the q-analog of starlike functions connected with a trigonometric sine function. Further, we discuss some interesting geometric properties, such as the well-known problems of Fekete-Szego, the necessary and sufficient condition, the growth and distortion bound, closure theorem, convolution results, radii of starlikeness, extreme point theorem and the problem with partial sums for this class.

引用

页码：1 / 14

页数：14

共 52 条

[1] COEFFICIENT ESTIMATES FOR SOME CLASSES OF FUNCTIONS ASSOCIATED WITH q-FUNCTION THEORY [J].