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On Quantum Differential Subordination Related with Certain Family of Analytic Functions

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  • Afis Saliu
  • Khalida Inayat Noor
  • Saqib Hussain
  • Maslina Darus
  • Hijaz Ahmad

Abstract

Recently, there is a rapid increase of research in the area of Quantum calculus (known as q-calculus) due to its widespread applications in many areas of study, such as geometric functions theory. To this end, using the concept of q-conic domains of Janowski type as well as q- calculus, new subclasses of analytic functions are introduced. This family of functions extends the notion of α-convex and quasi-convex functions. Furthermore, a coefficient inequality, sufficiency criteria, and covering results for these novel classes are derived. Besides, some remarkable consequences of our investigation are highlighted.

Suggested Citation

  • Afis Saliu & Khalida Inayat Noor & Saqib Hussain & Maslina Darus & Hijaz Ahmad, 2020. "On Quantum Differential Subordination Related with Certain Family of Analytic Functions," Journal of Mathematics, Hindawi, vol. 2020, pages 1-13, November.
    • Handle: RePEc:hin:jjmath:6675732
    DOI: 10.1155/2020/6675732
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    Cited by:

    1. Muhammad Arif & Safa Marwa & Qin Xin & Fairouz Tchier & Muhammad Ayaz & Sarfraz Nawaz Malik, 2022. "Sharp Coefficient Problems of Functions with Bounded Turnings Subordinated by Sigmoid Function," Mathematics, MDPI, vol. 10(20), pages 1-24, October.

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