Spivey-type recurrence relation for fully degenerate Bell polynomials
Number Theory
2025-09-09 v1
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.
Cite
@article{arxiv.2509.05761,
title = {Spivey-type recurrence relation for fully degenerate Bell polynomials},
author = {Taekyun Kim and Dae San Kim},
journal= {arXiv preprint arXiv:2509.05761},
year = {2025}
}
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9 pages