<i>Q</i>-Extension of Starlike Functions Subordinated with a Trigonometric Sine Function

Abstract

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.

Keywords

• starlike functions
• subordination
• <i>q</i>-derivative operator
• sine function