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arXiv · 2503.10124

Spivey's type recurrence relation for Lah-Bell polynomials

Taekyun Kim·Dae San Kim
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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-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.

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Taekyun Kim, Dae San Kim. 2025-03-13. Spivey's type recurrence relation for Lah-Bell polynomials. https://arxiv.org/abs/2503.10124

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