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arXiv · 2509.05761

Spivey-type recurrence relation for fully degenerate Bell polynomials

Taekyun Kim·Dae San Kim
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Abstract

Spivey's combinatorial method revealed an important identity for Bell numbers, involving Stirling numbers of the second kind. This paper extends his work by deriving Spivey-type recurrence relations for fully degenerate Bell polynomials and degenerate Fubini polynomials. Our derivation uses degenerate Stirling numbers of the second kind and two-variable degenerate Fubini polynomials of order a.

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Taekyun Kim, Dae San Kim. 2025-09-06. Spivey-type recurrence relation for fully degenerate Bell polynomials. https://arxiv.org/abs/2509.05761

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