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Recently, there is a rapid increase of research in the area of Quantum calculus (known as - calculus) due to its widespread applications in many areas of study, such as… Click to show full abstract
Recently, there is a rapid increase of research in the area of Quantum calculus (known as - calculus) due to its widespread applications in many areas of study, such as geometric functions theory. To this end, using the concept of - conic domains of Janowski type as well as - calculus, new subclasses of analytic functions are introduced. This family of functions extends the notion of - 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.
Journal Title: Journal of Mathematics
Year Published: 2020
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