Abstract

The major motivation behind this work is to utilize ‐calculus and inspected the generalized ‐Ruscheweyh differential operator. At the present time, we utilized ‐Ruscheweyh differential operator and examined some new subfamilies of and study some essential properties, for example, inclusion and subordination properties.

Highlights

  • Kanas and Wisniowska [5] extended the parabolic region and characterized the region Υk, 0 ≤ k < ∞ as 􏽱

  • Two fascinating subfamilies of S are k − UCV and k − ST which consist of k-uniformly convex and k-uniformly star-like functions, respectively, and characterized by [5, 6] for k ≥ 0 as k−

  • 2.1. (p, q)− Generalized Pochhammer Symbol. e incestigation of star-like functions via (p,q)-calculus and various analytic functions classes were reported in [11, 12], respectively. e (p, q)− Gamma function is characterized by the accompanying relation: Γ (r) [r] Γ (r − 1), (p,q)

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Summary

Introduction

Kanas and Wisniowska [5] extended the parabolic region and characterized the region Υk, 0 ≤ k < ∞ as 􏽱. Jackson ought to be praised for the specific start of quantum calculus in his work in [1, 2], by presenting the q-derivative and integral, respectively. Two fascinating subfamilies of S are k − UCV and k − ST which consist of k-uniformly convex and k-uniformly star-like functions, respectively, and characterized by [5, 6] for k ≥ 0 as k− Akbar et al [11] started the possibility of symmetric (p, q)-calculus, presented symmetric (p, q)-derivative, and examined another class of star-like functions along intriguing results.

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