Curious congruences related to the Bell polynomials

DOI10.2989/16073606.2017.1391349zbMath1415.11042OpenAlexW2768060229MaRDI QIDQ4643748

Miloud Mihoubi, Abdelkader Benyattou

Publication date: 28 May 2018

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2017.1391349

zbMATH Keywords

congruencesBell polynomialsderangement polynomialsgeneralized Bell umbralah polynomials

Mathematics Subject Classification ID

Partitions of sets (05A18) Bell and Stirling numbers (11B73) Congruences; primitive roots; residue systems (11A07)

Related Items (4)

Backward Touchard congruence ⋮ Polynomials with real zeros via special polynomials ⋮ Set partitions and partitions without singleton blocks of type \(B\) ⋮ Some identities involving Appell polynomials

Cites Work

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• The \(r\)-derangement numbers
• Divisibility properties of the \(r\)-Bell numbers and polynomials
• \(\lambda \)-factorials of \(n\)
• The largest singletons of set partitions
• The \(r\)-Stirling numbers
• Enumeration of derangements with descents in prescribed positions
• The umbral calculus
• On umbral calculus
• The partial \(r\)-Bell polynomials
• Note on some restricted Stirling numbers of the second kind
• Congruences on the Bell polynomials and the derangement polynomials
• Some congruences concerning the Bell numbers
• Bell polynomials and binomial type sequences
• Applications of the classical umbral calculus
• ON A CURIOUS PROPERTY OF BELL NUMBERS
• The Classical Umbral Calculus
• The (r1,...,rp)-Stirling Numbers of the Second Kind
• The (r1,...,rp)-Bell polynomials

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