New Subclass of Analytic Function Related with Generalized Conic Domain Associated with q− Differential Operator
The quantum (or q-) calculus is widely applied in various operators which include the q-difference (q-derivative) operator, and this operator plays an important role in geometric function theory (GFT) as well as in the theory of hypergeometric series. In our present investigation, we introduce and s...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/1404674 |
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| _version_ | 1832569206812442624 |
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| author | Shahid Khan Saqib Hussain Ilyas Khan Amnah s. Al-johani Mulugeta Andualem |
| author_facet | Shahid Khan Saqib Hussain Ilyas Khan Amnah s. Al-johani Mulugeta Andualem |
| author_sort | Shahid Khan |
| collection | DOAJ |
| description | The quantum (or q-) calculus is widely applied in various operators which include the q-difference (q-derivative) operator, and this operator plays an important role in geometric function theory (GFT) as well as in the theory of hypergeometric series. In our present investigation, we introduce and study q-differential operator associated with q-Mittag–Leffler function which is an extension of the Salagean q-differential operator. By using this newly defined operator, we define a new subclass of analytic function and studied certain subclass of analytic function in generalized conic domain Ωk,q,γ. For this class, we investigate structural formula, coefficient estimates, sufficient condition, Fekete–Szegö problem, and also some subordination results. |
| format | Article |
| id | doaj-art-9979d63c5f514d14a21462624809730d |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-9979d63c5f514d14a21462624809730d2025-02-02T23:03:23ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/1404674New Subclass of Analytic Function Related with Generalized Conic Domain Associated with q− Differential OperatorShahid Khan0Saqib Hussain1Ilyas Khan2Amnah s. Al-johani3Mulugeta Andualem4Department of Mathematics and StatisticsDepartment of Mathematics COMSATS Institute of Information TechnologyDepartment of MathematicsMathematics DepartmentDepartment of MathematicsThe quantum (or q-) calculus is widely applied in various operators which include the q-difference (q-derivative) operator, and this operator plays an important role in geometric function theory (GFT) as well as in the theory of hypergeometric series. In our present investigation, we introduce and study q-differential operator associated with q-Mittag–Leffler function which is an extension of the Salagean q-differential operator. By using this newly defined operator, we define a new subclass of analytic function and studied certain subclass of analytic function in generalized conic domain Ωk,q,γ. For this class, we investigate structural formula, coefficient estimates, sufficient condition, Fekete–Szegö problem, and also some subordination results.http://dx.doi.org/10.1155/2022/1404674 |
| spellingShingle | Shahid Khan Saqib Hussain Ilyas Khan Amnah s. Al-johani Mulugeta Andualem New Subclass of Analytic Function Related with Generalized Conic Domain Associated with q− Differential Operator Journal of Mathematics |
| title | New Subclass of Analytic Function Related with Generalized Conic Domain Associated with q− Differential Operator |
| title_full | New Subclass of Analytic Function Related with Generalized Conic Domain Associated with q− Differential Operator |
| title_fullStr | New Subclass of Analytic Function Related with Generalized Conic Domain Associated with q− Differential Operator |
| title_full_unstemmed | New Subclass of Analytic Function Related with Generalized Conic Domain Associated with q− Differential Operator |
| title_short | New Subclass of Analytic Function Related with Generalized Conic Domain Associated with q− Differential Operator |
| title_sort | new subclass of analytic function related with generalized conic domain associated with q differential operator |
| url | http://dx.doi.org/10.1155/2022/1404674 |
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