A new family of Apostol–Genocchi polynomials associated with their certain identities
In this paper, we provide a generating function for mix type Apostol–Genocchi polynomials of order η associated with Bell polynomials. We also derive certain important identities of Apostol Genocchi polynomials of order η based on Bell polynomials, such as the correlation formula, the implicit summa...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2023-12-01
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| Series: | Applied Mathematics in Science and Engineering |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/27690911.2022.2155641 |
| _version_ | 1797640986193559552 |
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| author | Nabiullah Khan Saddam Husain Talha Usman Serkan Araci |
| author_facet | Nabiullah Khan Saddam Husain Talha Usman Serkan Araci |
| author_sort | Nabiullah Khan |
| collection | DOAJ |
| description | In this paper, we provide a generating function for mix type Apostol–Genocchi polynomials of order η associated with Bell polynomials. We also derive certain important identities of Apostol Genocchi polynomials of order η based on Bell polynomials, such as the correlation formula, the implicit summation formula, the derivative formula, some correlation with Stirling numbers and their special instances. Moreover, we discover some symmetric identities and their related known results. |
| first_indexed | 2024-03-11T13:39:04Z |
| format | Article |
| id | doaj.art-1a69ad68923b4e2bbc36908397e3149d |
| institution | Directory Open Access Journal |
| issn | 2769-0911 |
| language | English |
| last_indexed | 2024-03-11T13:39:04Z |
| publishDate | 2023-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Applied Mathematics in Science and Engineering |
| spelling | doaj.art-1a69ad68923b4e2bbc36908397e3149d2023-11-02T13:48:31ZengTaylor & Francis GroupApplied Mathematics in Science and Engineering2769-09112023-12-0131110.1080/27690911.2022.21556412155641A new family of Apostol–Genocchi polynomials associated with their certain identitiesNabiullah Khan0Saddam Husain1Talha Usman2Serkan Araci3Aligarh Muslim UniversityAligarh Muslim UniversityUniversity of Technology and Applied SciencesHasan Kalyoncu UniversityIn this paper, we provide a generating function for mix type Apostol–Genocchi polynomials of order η associated with Bell polynomials. We also derive certain important identities of Apostol Genocchi polynomials of order η based on Bell polynomials, such as the correlation formula, the implicit summation formula, the derivative formula, some correlation with Stirling numbers and their special instances. Moreover, we discover some symmetric identities and their related known results.http://dx.doi.org/10.1080/27690911.2022.2155641generating functionapostol–genocchi polynomialsidentitiesbell polynomialsstirling numbers |
| spellingShingle | Nabiullah Khan Saddam Husain Talha Usman Serkan Araci A new family of Apostol–Genocchi polynomials associated with their certain identities Applied Mathematics in Science and Engineering generating function apostol–genocchi polynomials identities bell polynomials stirling numbers |
| title | A new family of Apostol–Genocchi polynomials associated with their certain identities |
| title_full | A new family of Apostol–Genocchi polynomials associated with their certain identities |
| title_fullStr | A new family of Apostol–Genocchi polynomials associated with their certain identities |
| title_full_unstemmed | A new family of Apostol–Genocchi polynomials associated with their certain identities |
| title_short | A new family of Apostol–Genocchi polynomials associated with their certain identities |
| title_sort | new family of apostol genocchi polynomials associated with their certain identities |
| topic | generating function apostol–genocchi polynomials identities bell polynomials stirling numbers |
| url | http://dx.doi.org/10.1080/27690911.2022.2155641 |
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