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 |
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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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| _version_ | 1850159845246763008 |
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| author | Afis Saliu Khalida Inayat Noor Saqib Hussain Maslina Darus |
| author_facet | Afis Saliu Khalida Inayat Noor Saqib Hussain Maslina Darus |
| author_sort | Afis Saliu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b5b7f31f4b804d47ba11e0bafb3ca629 |
| institution | OA Journals |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-b5b7f31f4b804d47ba11e0bafb3ca6292025-08-20T02:23:22ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/66757326675732On Quantum Differential Subordination Related with Certain Family of Analytic FunctionsAfis Saliu0Khalida Inayat Noor1Saqib Hussain2Maslina Darus3Department of Mathematics, COMSATS University Islamabad, Park Road, Tarlai Kalan, Islamabad 45550, PakistanDepartment of Mathematics, COMSATS University Islamabad, Park Road, Tarlai Kalan, Islamabad 45550, PakistanDepartment of Mathematics, COMSATS University Islamabad, Abbottabad Campus 22060, Abbottabad, PakistanDepartment of Mathematical Sciences, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, MalaysiaRecently, 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.http://dx.doi.org/10.1155/2020/6675732 |
| spellingShingle | Afis Saliu Khalida Inayat Noor Saqib Hussain Maslina Darus On Quantum Differential Subordination Related with Certain Family of Analytic Functions Journal of Mathematics |
| title | On Quantum Differential Subordination Related with Certain Family of Analytic Functions |
| title_full | On Quantum Differential Subordination Related with Certain Family of Analytic Functions |
| title_fullStr | On Quantum Differential Subordination Related with Certain Family of Analytic Functions |
| title_full_unstemmed | On Quantum Differential Subordination Related with Certain Family of Analytic Functions |
| title_short | On Quantum Differential Subordination Related with Certain Family of Analytic Functions |
| title_sort | on quantum differential subordination related with certain family of analytic functions |
| url | http://dx.doi.org/10.1155/2020/6675732 |
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