q-Calculus and Convolution Techniques in the Study Of q-Ruscheweyeh Derivatives With Janowski Functions

TL;DR

This paper explores q-calculus and convolution methods to analyze q-Ruscheweyeh derivatives within Janowski functions, introducing a new subclass of analytic functions and examining their properties such as coefficient estimates and geometric radii.

Contribution

It introduces a novel subclass of analytic functions based on q-calculus and convolution techniques, expanding the understanding of q-Ruscheweyeh derivatives in Janowski functions.

Findings

Derived coefficient estimates for the new subclass

Determined radii of starlikeness and convexity

Identified extreme points and geometric properties

Abstract

In this paper, we use concept of q-calculus and technique of convolution to study the q-Ruscheweyeh derivative by the concept of Janowski function, then we define new Subclass of analytic functions. Coefficients Estimates, radii of starlikeness, close to convexity, extreme points and many interesting properties are investigate, obtained and studied.