A generalized recurrence for Bell polynomials: an alternate approach to Spivey and Gould-Quaintance formulas

DOI10.1016/J.EJC.2008.11.012zbMath1187.05007OpenAlexW1994111581MaRDI QIDQ1024322

Miloud Mihoubi, Hacène Belbachir

Publication date: 17 June 2009

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2008.11.012

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30)

Related Items (14)

Shifting powers in Spivey’s Bell number formula ⋮ Some formulas for Bell numbers ⋮ Congruences on the Bell polynomials and the derangement polynomials ⋮ A formula relating Bell polynomials and Stirling numbers of the first kind ⋮ Bivariate extension of the \(r\)-Dowling polynomials and two forms of generalized Spivey's formula ⋮ The largest singletons of set partitions ⋮ A unified approach to some recurrence sequences via Faà di Bruno's formula ⋮ Some results on Whitney numbers of Dowling lattices ⋮ Identities behind some congruences for \(r\)-Bell and derangement polynomials ⋮ Fractional Bell collocation method for solving linear fractional integro-differential equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Spivey's Bell Number Formula Revisited ⋮ Some identities related to ther-Whitney numbers

Cites Work

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• On some properties of Chebyshev polynomials
• On some properties on bivariate Fibonacci and Lucas polynomials

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