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arXiv · 2508.17228

Probabilistic generalization of Spivey-type relation for degenerate Bell polynomials

Taekyun Kim·Dae San Kim
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Abstract

Following Spivey's pivotal discovery of a recurrence relation for Bell numbers, significant research has emerged concerning various generalizations of Bell numbers and polynomials. For example, Kim and Kim established a Spivey-type recurrence relation specifically for degenerate Bell and Dowling polynomials. In this paper, we extend this work by deriving a probabilistic generalization of Spivey-type recurrence relations for both degenerate Bell and degenerate r-Bell polynomials.

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Taekyun Kim, Dae San Kim. 2025-08-24. Probabilistic generalization of Spivey-type relation for degenerate Bell polynomials. https://arxiv.org/abs/2508.17228

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