Geometric Properties of Analytic Functions Defined by the (p, q) Derivative Operator Involving the Poisson Distribution
The objective of the current paper is to find the necessary and sufficient condition for the function to belong to the subclass of Cd,δ,μ,β of analytic functions involving the Poisson distribution defined by the p,q derivative operator. Furthermore, distortion bounds, covering theorems, a radius of...
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/2097976 |
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| author | S. Santhiya K. Thilagavathi |
| author_facet | S. Santhiya K. Thilagavathi |
| author_sort | S. Santhiya |
| collection | DOAJ |
| description | The objective of the current paper is to find the necessary and sufficient condition for the function to belong to the subclass of Cd,δ,μ,β of analytic functions involving the Poisson distribution defined by the p,q derivative operator. Furthermore, distortion bounds, covering theorems, a radius of starlikeness, and convexity for functions belonging to this class are obtained. |
| format | Article |
| id | doaj-art-baec317dfd4746f9be65f024653dc0e7 |
| institution | DOAJ |
| issn | 2314-4785 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-baec317dfd4746f9be65f024653dc0e72025-08-20T03:04:49ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/2097976Geometric Properties of Analytic Functions Defined by the (p, q) Derivative Operator Involving the Poisson DistributionS. Santhiya0K. Thilagavathi1Department of MathematicsDepartment of MathematicsThe objective of the current paper is to find the necessary and sufficient condition for the function to belong to the subclass of Cd,δ,μ,β of analytic functions involving the Poisson distribution defined by the p,q derivative operator. Furthermore, distortion bounds, covering theorems, a radius of starlikeness, and convexity for functions belonging to this class are obtained.http://dx.doi.org/10.1155/2023/2097976 |
| spellingShingle | S. Santhiya K. Thilagavathi Geometric Properties of Analytic Functions Defined by the (p, q) Derivative Operator Involving the Poisson Distribution Journal of Mathematics |
| title | Geometric Properties of Analytic Functions Defined by the (p, q) Derivative Operator Involving the Poisson Distribution |
| title_full | Geometric Properties of Analytic Functions Defined by the (p, q) Derivative Operator Involving the Poisson Distribution |
| title_fullStr | Geometric Properties of Analytic Functions Defined by the (p, q) Derivative Operator Involving the Poisson Distribution |
| title_full_unstemmed | Geometric Properties of Analytic Functions Defined by the (p, q) Derivative Operator Involving the Poisson Distribution |
| title_short | Geometric Properties of Analytic Functions Defined by the (p, q) Derivative Operator Involving the Poisson Distribution |
| title_sort | geometric properties of analytic functions defined by the p q derivative operator involving the poisson distribution |
| url | http://dx.doi.org/10.1155/2023/2097976 |
| work_keys_str_mv | AT ssanthiya geometricpropertiesofanalyticfunctionsdefinedbythepqderivativeoperatorinvolvingthepoissondistribution AT kthilagavathi geometricpropertiesofanalyticfunctionsdefinedbythepqderivativeoperatorinvolvingthepoissondistribution |