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arXiv · 2502.12728

Spivey's type recurrence relation for degenerate Bell polynomials

Taekyun Kim·Dae San Kim
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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.

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Taekyun Kim, Dae San Kim. 2025-02-18. Spivey's type recurrence relation for degenerate Bell polynomials. https://arxiv.org/abs/2502.12728

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