On Quantum Differential Subordination Related with Certain Family of Analytic Functions

Afis Saliu, Khalida Inayat Noor, Saqib Hussain, Maslina Darus and Hijaz Ahmad

Journal of Mathematics, 2020, vol. 2020, 1-13

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6675732

DOI: 10.1155/2020/6675732

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