Inclusion and Neighborhood on a Multivalent q-Symmetric Function with Poisson Distribution Operators
In this paper, by using Poisson distribution probability, some characteristics of analytic multivalent q-symmetric starlike and q-symmetric convex functions of order η are examined. Then, by utilizing the Poisson distribution and the concept of the q-analogue Salagean integral operator, the p-valent...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/3697215 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832553039073902592 |
|---|---|
| author | Ebrahim Amini Shrideh Al-Omari Dayalal Suthar |
| author_facet | Ebrahim Amini Shrideh Al-Omari Dayalal Suthar |
| author_sort | Ebrahim Amini |
| collection | DOAJ |
| description | In this paper, by using Poisson distribution probability, some characteristics of analytic multivalent q-symmetric starlike and q-symmetric convex functions of order η are examined. Then, by utilizing the Poisson distribution and the concept of the q-analogue Salagean integral operator, the p-valent convergence polynomial was introduced. Furthermore, a number of subclasses of analytic symmetric p-valent functions linked to novel polynomials are also deduced. After that, specific coefficient constraints are determined and symmetric δ,q-neighborhoods for p-valent functions are defined. In relation to symmetric δ,q-neighborhoods of q-symmetric p-valent functions formed by Poisson distributions, this paper presents new inclusion results. In addition, a detailed discussion of certain q-symmetric inequalities of analytic functions with negative coefficients is also provided. |
| format | Article |
| id | doaj-art-2241dc4e8bf24aada37aa558b41bcf4e |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-2241dc4e8bf24aada37aa558b41bcf4e2025-02-03T05:56:56ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/3697215Inclusion and Neighborhood on a Multivalent q-Symmetric Function with Poisson Distribution OperatorsEbrahim Amini0Shrideh Al-Omari1Dayalal Suthar2Department of MathematicsDepartment of MathematicsDepartment of MathematicsIn this paper, by using Poisson distribution probability, some characteristics of analytic multivalent q-symmetric starlike and q-symmetric convex functions of order η are examined. Then, by utilizing the Poisson distribution and the concept of the q-analogue Salagean integral operator, the p-valent convergence polynomial was introduced. Furthermore, a number of subclasses of analytic symmetric p-valent functions linked to novel polynomials are also deduced. After that, specific coefficient constraints are determined and symmetric δ,q-neighborhoods for p-valent functions are defined. In relation to symmetric δ,q-neighborhoods of q-symmetric p-valent functions formed by Poisson distributions, this paper presents new inclusion results. In addition, a detailed discussion of certain q-symmetric inequalities of analytic functions with negative coefficients is also provided.http://dx.doi.org/10.1155/2024/3697215 |
| spellingShingle | Ebrahim Amini Shrideh Al-Omari Dayalal Suthar Inclusion and Neighborhood on a Multivalent q-Symmetric Function with Poisson Distribution Operators Journal of Mathematics |
| title | Inclusion and Neighborhood on a Multivalent q-Symmetric Function with Poisson Distribution Operators |
| title_full | Inclusion and Neighborhood on a Multivalent q-Symmetric Function with Poisson Distribution Operators |
| title_fullStr | Inclusion and Neighborhood on a Multivalent q-Symmetric Function with Poisson Distribution Operators |
| title_full_unstemmed | Inclusion and Neighborhood on a Multivalent q-Symmetric Function with Poisson Distribution Operators |
| title_short | Inclusion and Neighborhood on a Multivalent q-Symmetric Function with Poisson Distribution Operators |
| title_sort | inclusion and neighborhood on a multivalent q symmetric function with poisson distribution operators |
| url | http://dx.doi.org/10.1155/2024/3697215 |
| work_keys_str_mv | AT ebrahimamini inclusionandneighborhoodonamultivalentqsymmetricfunctionwithpoissondistributionoperators AT shridehalomari inclusionandneighborhoodonamultivalentqsymmetricfunctionwithpoissondistributionoperators AT dayalalsuthar inclusionandneighborhoodonamultivalentqsymmetricfunctionwithpoissondistributionoperators |