Q-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.

Coefficient Estimates for a Subclass of Meromorphic Multivalent q-Close-to-Convex Functions

“…Now, the required result can easily be obtained if we make use of Equations ( 16)- (18). Corollary 3.…”

“…Very recently, by using q-Deference operator, Srivastava et al [14] studied a certain subclass of analytic function with symmetric points. Several other authors (see, for example, [15][16][17][18][19][20][21][22]) have studied and generalized the classes of symmetric and other q-starlike functions from different viewpoints and perspectives. For some more recent investigation about q-calculus, we may refer the interested reader to [23,24].…”

Coefficient functionals for a class of bounded turning functions connected to three leaf function

“…Note that H 2,1 (f) = a 3 − a 2 2 , is the classical Fekete-Szeg ö functional. For various subclasses of class A, the best conceivable value of the upper bound for |H 2,1 (f)| was explored by different authors (see [10,13,14,27] for details). Furthermore, when q = 2 and n = 2, the second Hankel determinant is…”

A Subclass of Janowski Starlike Functions Involving Mathieu-Type Series

“…The major purpose of this study is to begin an investigation into the properties of Mathieu-type series related to the Janowski functions. One may also attempt to apply this Mathieu-type series in order to generalize the works presented in [13][14][15][16][17][18].…”