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

General Mathematics 2024-08-27 v1

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.

Keywords

Cite

@article{arxiv.2408.13261,
  title  = {q-Calculus and Convolution Techniques in the Study Of q-Ruscheweyeh Derivatives With Janowski Functions},
  author = {K. Marimuthu and Nasir Ali},
  journal= {arXiv preprint arXiv:2408.13261},
  year   = {2024}
}