Spivey's type recurrence relation for Lah-Bell polynomials.
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| Title: | Spivey's type recurrence relation for Lah-Bell polynomials. |
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| Authors: | Kim, Dae San1 (AUTHOR), Bu, Sunyoung1 (AUTHOR), Lee, Hyunseok1 (AUTHOR), Khalil, Murad1 (AUTHOR), Kim, Taekyun1 (AUTHOR) tkkim@kw.ac.kr |
| Source: | Mathematical & Computer Modelling of Dynamical Systems. Dec2025, Vol. 31 Issue 1, p1-15. 15p. |
| Subjects: | Polynomials, Recursive sequences (Mathematics), Differential operators, Commutators (Operator theory) |
| Abstract: | The aim of this paper is to derive Spivey's type recurrence relations for the Lah-Bell polynomials and the $r$ r -Lah-Bell polynomials by utilizing operators $X$ X and $D$ D satisfying the commutation relation $DX - XD = 1$ DX − XD = 1. Here $X$ X is the 'multiplication by $x$ x ' operator and $D$ D is the differentiation operator $D = {d \over {dx}}$ D = d dx . In addition, we obtain Spivey's type recurrence relation for the $\lambda $ λ analogue of $r$ r -Lah-Bell polynomials by some other method without using the operators $X$ X and $D$ D. [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.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 190352345 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Spivey's type recurrence relation for Lah-Bell polynomials. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Kim%2C+Dae+San%22">Kim, Dae San</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Bu%2C+Sunyoung%22">Bu, Sunyoung</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Lee%2C+Hyunseok%22">Lee, Hyunseok</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Khalil%2C+Murad%22">Khalil, Murad</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Kim%2C+Taekyun%22">Kim, Taekyun</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> tkkim@kw.ac.kr</i> – Name: TitleSource Label: Source Group: Src 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, p1-15. 15p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Polynomials%22">Polynomials</searchLink><br /><searchLink fieldCode="DE" term="%22Recursive+sequences+%28Mathematics%29%22">Recursive sequences (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+operators%22">Differential operators</searchLink><br /><searchLink fieldCode="DE" term="%22Commutators+%28Operator+theory%29%22">Commutators (Operator theory)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The aim of this paper is to derive Spivey's type recurrence relations for the Lah-Bell polynomials and the $r$ r -Lah-Bell polynomials by utilizing operators $X$ X and $D$ D satisfying the commutation relation $DX - XD = 1$ DX − XD = 1. Here $X$ X is the 'multiplication by $x$ x ' operator and $D$ D is the differentiation operator $D = {d \over {dx}}$ D = d dx . In addition, we obtain Spivey's type recurrence relation for the $\lambda $ λ analogue of $r$ r -Lah-Bell polynomials by some other method without using the operators $X$ X and $D$ D. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab 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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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1080/13873954.2025.2547873 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 15 StartPage: 1 Subjects: – SubjectFull: Polynomials Type: general – SubjectFull: Recursive sequences (Mathematics) Type: general – SubjectFull: Differential operators Type: general – SubjectFull: Commutators (Operator theory) Type: general Titles: – TitleFull: Spivey's type recurrence relation for Lah-Bell polynomials. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Kim, Dae San – PersonEntity: Name: NameFull: Bu, Sunyoung – PersonEntity: Name: NameFull: Lee, Hyunseok – PersonEntity: Name: NameFull: Khalil, Murad – PersonEntity: Name: NameFull: Kim, Taekyun IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 12 Text: Dec2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 13873954 Numbering: – Type: volume Value: 31 – Type: issue Value: 1 Titles: – TitleFull: Mathematical & Computer Modelling of Dynamical Systems Type: main |
| ResultId | 1 |
