Recurrence relations for degenerate Bell and Dowling polynomials via Boson operators

2025/03/04 by Kim, Taekyun, Kim, Dae San · 4 citations
#11B73 #11B83 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2503.02282

Abstract

Spivey found a recurrence relation for the Bell numbers by using combinatorial method. The aim of this paper is to derive Spivey's type recurrence relations for the degenerate Bell polynomials and the degenerate Dowling polynomials by using the boson annihilation and creation operators satisfying the commutation relation aa+-a+a=1. In addition, we derive a Spivey's type recurrence relation for the r-Dowling polynomials.

Cited by

• Degenerate Euler- Seidel Method for degenerate Bernoulli, Euler, and Genocchi polynomials
• Degenerate Euler-Seidel Matrix Method and Their Applications
• A Generalized Recurrence for fully degenerate Bell polynomials
• Probabilistic generalization of Spivey-type relation for degenerate Bell polynomials

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