Spivey-type recurrence relation for fully degenerate Bell polynomials

Taekyun Kim, Dae San Kim

公開日: 2025/9/6

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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