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] |
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| Database: | Engineering Source |
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| 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] |
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| ISSN: | 13873954 |
| DOI: | 10.1080/13873954.2025.2547873 |
