Spivey's type recurrence relation for Lah-Bell polynomials
Classical Analysis and ODEs
2025-03-14 v1 Number Theory
Abstract
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.
Cite
@article{arxiv.2503.10124,
title = {Spivey's type recurrence relation for Lah-Bell polynomials},
author = {Taekyun Kim and Dae San Kim},
journal= {arXiv preprint arXiv:2503.10124},
year = {2025}
}
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