Spivey's type recurrence relation for degenerate Bell polynomials
Number Theory
2025-02-19 v1
Abstract
The aim of this paper is to derive a recurrence relation for the degenerate Bell polynomials by using the operators X and D satisfying the commutation relation DX-XD=1. Here X is the `multiplication by x' operator and D=d/dx. This recurrence relation is a generalization of Spivey's recurrence relation for the Bell numbers. We also obtain a recurrence relation for the degenerate r--Bell polynomials by using the same operators.
Cite
@article{arxiv.2502.12728,
title = {Spivey's type recurrence relation for degenerate Bell polynomials},
author = {Taekyun Kim and Dae San Kim},
journal= {arXiv preprint arXiv:2502.12728},
year = {2025}
}
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