Some identities of Fubini numbers related to special numbers
In this paper, we examine the interconnections between Fubini numbers and a range of recently defined special numbers, including the Lah-Bell numbers, the Changhee numbers, and the Dahee numbers, along with several other established special numbers. We explore these relationships by analysing the ge...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2025-12-01
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| Series: | Mathematical and Computer Modelling of Dynamical Systems |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/13873954.2025.2470823 |
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| author | Jin-Woo Park Sangbeom Park Patcharee Wongsason Jongkyum Kwon |
| author_facet | Jin-Woo Park Sangbeom Park Patcharee Wongsason Jongkyum Kwon |
| author_sort | Jin-Woo Park |
| collection | DOAJ |
| description | In this paper, we examine the interconnections between Fubini numbers and a range of recently defined special numbers, including the Lah-Bell numbers, the Changhee numbers, and the Dahee numbers, along with several other established special numbers. We explore these relationships by analysing the generating functions associated with these numbers, which enables us to establish diverse formulae for Fubini numbers in relation to other special numbers. Additionally, we uncover new properties of Fubini numbers through this investigation. Furthermore, by employing formal power series of generating functions, we establish general identities for special numbers, thereby extending our understanding of their properties and relationships. Finally, we study the interconnections of the five special functions by observing the shape of functions. |
| format | Article |
| id | doaj-art-decd993ee14c467c8768afb11b50e918 |
| institution | DOAJ |
| issn | 1387-3954 1744-5051 |
| language | English |
| publishDate | 2025-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Mathematical and Computer Modelling of Dynamical Systems |
| spelling | doaj-art-decd993ee14c467c8768afb11b50e9182025-08-20T03:09:49ZengTaylor & Francis GroupMathematical and Computer Modelling of Dynamical Systems1387-39541744-50512025-12-0131110.1080/13873954.2025.2470823Some identities of Fubini numbers related to special numbersJin-Woo Park0Sangbeom Park1Patcharee Wongsason2Jongkyum Kwon3Department of Mathematics Education, Daegu University, Gyeongsan, Gyeongbuk, Republic of KoreaDepartment of Mathematics, Kyungpook National University, Daegu, Republic of KoreaDepartment of Mathematics, Statistics and Computers, Faculty of Sciences, Ubon Ratchathani University, Ubon Ratchathani, ThailandDepartment of Mathematics Education, Gyeongsang National University, Jinju, Republic of KoreaIn this paper, we examine the interconnections between Fubini numbers and a range of recently defined special numbers, including the Lah-Bell numbers, the Changhee numbers, and the Dahee numbers, along with several other established special numbers. We explore these relationships by analysing the generating functions associated with these numbers, which enables us to establish diverse formulae for Fubini numbers in relation to other special numbers. Additionally, we uncover new properties of Fubini numbers through this investigation. Furthermore, by employing formal power series of generating functions, we establish general identities for special numbers, thereby extending our understanding of their properties and relationships. Finally, we study the interconnections of the five special functions by observing the shape of functions.https://www.tandfonline.com/doi/10.1080/13873954.2025.2470823Fubini numbersLah numbersEuler numbersChanghee numbersLah-Bell numbersBell numbers |
| spellingShingle | Jin-Woo Park Sangbeom Park Patcharee Wongsason Jongkyum Kwon Some identities of Fubini numbers related to special numbers Mathematical and Computer Modelling of Dynamical Systems Fubini numbers Lah numbers Euler numbers Changhee numbers Lah-Bell numbers Bell numbers |
| title | Some identities of Fubini numbers related to special numbers |
| title_full | Some identities of Fubini numbers related to special numbers |
| title_fullStr | Some identities of Fubini numbers related to special numbers |
| title_full_unstemmed | Some identities of Fubini numbers related to special numbers |
| title_short | Some identities of Fubini numbers related to special numbers |
| title_sort | some identities of fubini numbers related to special numbers |
| topic | Fubini numbers Lah numbers Euler numbers Changhee numbers Lah-Bell numbers Bell numbers |
| url | https://www.tandfonline.com/doi/10.1080/13873954.2025.2470823 |
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