On Quantum Differential Subordination Related with Certain Family of Analytic Functions
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 subclass...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/6675732 |
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| Summary: | 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. |
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| ISSN: | 2314-4629 2314-4785 |