A generalization of Boole's formula derived from a system of linear equations

DOI10.4171/EM/533MaRDI QIDQ6656684

Haoran Zhu

Publication date: 3 January 2025

Published in: Elemente der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Euler's formulaStirling's partition number

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Polynomials and finite commutative rings (13M10)

Cites Work

• Title not available (Why is that?)
• Powers and polynomials in \(\mathbb{Z}_m\)
• On Boole's formula for factorials
• Boole's formula as a consequence of Lagrange's Interpolating Polynomial theorem
• Euler's formula nth Differences of Powers
• On some combinatorial identities and harmonic sums
• A New Proof of Boole’S Additive Combinatorics Formula
• The ring of polyfunctions over Z/nZ
• Calculus of finite differences \(2^{\text{e}}\) ed. by J. F. Moulton.
• Polyfunctions over commutative rings

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