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Some identities of Fubini numbers related to special numbers.

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Title: Some identities of Fubini numbers related to special numbers.
Authors: Park, Jin-Woo1 (AUTHOR), Park, Sangbeom2 (AUTHOR), Wongsason, Patcharee3 (AUTHOR), Kwon, Jongkyum4 (AUTHOR) mathkjk26@gnu.ac.kr
Source: Mathematical & Computer Modelling of Dynamical Systems. Dec2025, Vol. 31 Issue 1, p1-17. 17p.
Subjects: Generating functions, Identities (Mathematics), Mathematical sequences
Abstract: 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. [ABSTRACT FROM AUTHOR]
Copyright of Mathematical & Computer Modelling of Dynamical Systems is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Some identities of Fubini numbers related to special numbers.
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  Data: <searchLink fieldCode="AR" term="%22Park%2C+Jin-Woo%22">Park, Jin-Woo</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Park%2C+Sangbeom%22">Park, Sangbeom</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wongsason%2C+Patcharee%22">Wongsason, Patcharee</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Kwon%2C+Jongkyum%22">Kwon, Jongkyum</searchLink><relatesTo>4</relatesTo> (AUTHOR)<i> mathkjk26@gnu.ac.kr</i>
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  Data: <searchLink fieldCode="JN" term="%22Mathematical+%26+Computer+Modelling+of+Dynamical+Systems%22">Mathematical & Computer Modelling of Dynamical Systems</searchLink>. Dec2025, Vol. 31 Issue 1, p1-17. 17p.
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  Data: <searchLink fieldCode="DE" term="%22Generating+functions%22">Generating functions</searchLink><br /><searchLink fieldCode="DE" term="%22Identities+%28Mathematics%29%22">Identities (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+sequences%22">Mathematical sequences</searchLink>
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  Label: Abstract
  Group: Ab
  Data: 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. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Mathematical & Computer Modelling of Dynamical Systems is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1080/13873954.2025.2470823
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        Text: English
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              M: 12
              Text: Dec2025
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