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

Mathematics

MuhammadGhaffar Khan¹  Muhammad Arif¹  Ronnason Chinram²  Bakhtiar Ahmad³  Saeed Islam⁴ 

[1] Department of Mathematics, Abdul Wali Khan University Mardan, 23200 Mardan, Pakistan;Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand;Government Degree College Mardan, 23200 Mardan, Pakistan;Informetrics Research Group, Ton Duc Thang University, Ho Chi Minh City 70000, Vietnam;

关键词: starlike functions;    subordination;    q-derivative operator;    sine function;   

DOI  :  10.3390/math8101676

来源: DOAJ

【 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-Szegö, 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.

【 授权许可】

Unknown