On Quantum Differential Subordination Related with Certain Family of Analytic Functions

Abstract EN

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.