Recurrence relations for degenerate Bell and Dowling polynomials via Boson operators

Key Points

• The study derives recurrence relations for degenerate Bell polynomials, building on Spivey's earlier work.
• Using boson annihilation and creation operators, new recurrence relations for degenerate Dowling polynomials are established.
• The paper introduces a Spivey's type recurrence relation specifically for r-Dowling polynomials, extending combinatorial methods.
• The commutation relation for operators allows for a novel approach to constructing these polynomial relationships.