Subclass of Analytic Functions Related with Pascal Distribution Series
The prime purpose of this article is to derive a necessary and sufficient condition for a linear operator associated with the Pascal distribution series to be in the class TSμ,σ,δ of analytic functions. Moreover, inclusion relation and an integral operator linked to the Pascal distribution series is...
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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/10.1155/2022/8355285 |
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| _version_ | 1849415446582788096 |
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| author | Amnah E. Shammaky Basem Aref Frasin Tamer M. Seoudy |
| author_facet | Amnah E. Shammaky Basem Aref Frasin Tamer M. Seoudy |
| author_sort | Amnah E. Shammaky |
| collection | DOAJ |
| description | The prime purpose of this article is to derive a necessary and sufficient condition for a linear operator associated with the Pascal distribution series to be in the class TSμ,σ,δ of analytic functions. Moreover, inclusion relation and an integral operator linked to the Pascal distribution series is considered. We have also provided some results as corollaries of our theorems. |
| format | Article |
| id | doaj-art-6903112bbb4d4626a2fab2f6f4b467f0 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-6903112bbb4d4626a2fab2f6f4b467f02025-08-20T03:33:32ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/8355285Subclass of Analytic Functions Related with Pascal Distribution SeriesAmnah E. Shammaky0Basem Aref Frasin1Tamer M. Seoudy2Faculty of ScienceDepartment of MathematicsDepartment of MathematicsThe prime purpose of this article is to derive a necessary and sufficient condition for a linear operator associated with the Pascal distribution series to be in the class TSμ,σ,δ of analytic functions. Moreover, inclusion relation and an integral operator linked to the Pascal distribution series is considered. We have also provided some results as corollaries of our theorems.http://dx.doi.org/10.1155/2022/8355285 |
| spellingShingle | Amnah E. Shammaky Basem Aref Frasin Tamer M. Seoudy Subclass of Analytic Functions Related with Pascal Distribution Series Journal of Mathematics |
| title | Subclass of Analytic Functions Related with Pascal Distribution Series |
| title_full | Subclass of Analytic Functions Related with Pascal Distribution Series |
| title_fullStr | Subclass of Analytic Functions Related with Pascal Distribution Series |
| title_full_unstemmed | Subclass of Analytic Functions Related with Pascal Distribution Series |
| title_short | Subclass of Analytic Functions Related with Pascal Distribution Series |
| title_sort | subclass of analytic functions related with pascal distribution series |
| url | http://dx.doi.org/10.1155/2022/8355285 |
| work_keys_str_mv | AT amnaheshammaky subclassofanalyticfunctionsrelatedwithpascaldistributionseries AT basemareffrasin subclassofanalyticfunctionsrelatedwithpascaldistributionseries AT tamermseoudy subclassofanalyticfunctionsrelatedwithpascaldistributionseries |