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Extensions of Spivey's Bell number formula

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Publication:426863
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zbMath1288.11027MaRDI QIDQ426863

Aimin Xu

Publication date: 12 June 2012

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/EJC/ojs/index.php/eljc/article/view/v19i2p6


zbMATH Keywords

generating functionBell numberStirling number


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Special sequences and polynomials (11B83)


Related Items (11)

Shifting powers in Spivey’s Bell number formula ⋮ A second type of higher order generalized geometric polynomials and higher order generalized Euler polynomials ⋮ Some formulas for Bell numbers ⋮ A new approach to the \(r\)-Whitney numbers by using combinatorial differential calculus ⋮ Combinatorial approach of unified Apostol-type polynomials using \(\alpha \)-distanced words ⋮ Identities behind some congruences for \(r\)-Bell and derangement polynomials ⋮ Higher order generalized geometric polynomials ⋮ Unnamed Item ⋮ Some polynomials associated with the \(r\)-Whitney numbers ⋮ Spivey's Bell Number Formula Revisited ⋮ On \(q\)-deformed generalized Touchard polynomials







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