Spivey's type recurrence relation for Lah-Bell polynomials

Fuente: arXiv
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Hauptverfasser: Kim, Taekyun, Kim, Dae San
Format: Preprint
Veröffentlicht: 2025
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author Kim, Taekyun
Kim, Dae San
author_facet Kim, Taekyun
Kim, Dae San
contents The aim of this paper is to derive Spivey's type recurrence relations for the Lah-Bell polynomials and the r-Lah-Bell polynomials by utilizing operators X and D satisfying the commutation relation DX-XD=1. Here X is the `multiplication by x' operator and D is the differentiation operator D=d/dx. In addition, we obtain Spivey's type recurrence relation for the lambda analogue of r-Lah-Bell polynomials by some other method without using the operators X and D.
format Preprint
id arxiv_https___arxiv_org_abs_2503_10124
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Spivey's type recurrence relation for Lah-Bell polynomials
Kim, Taekyun
Kim, Dae San
Classical Analysis and ODEs
Number Theory
11B73, 11B83
The aim of this paper is to derive Spivey's type recurrence relations for the Lah-Bell polynomials and the r-Lah-Bell polynomials by utilizing operators X and D satisfying the commutation relation DX-XD=1. Here X is the `multiplication by x' operator and D is the differentiation operator D=d/dx. In addition, we obtain Spivey's type recurrence relation for the lambda analogue of r-Lah-Bell polynomials by some other method without using the operators X and D.
title Spivey's type recurrence relation for Lah-Bell polynomials
topic Classical Analysis and ODEs
Number Theory
11B73, 11B83
url https://arxiv.org/abs/2503.10124