A note on some identities of derangement polynomials

DOI10.1186/s13660-018-1636-8zbMath1383.05025OpenAlexW2805012262WikidataQ50328101 ScholiaQ50328101MaRDI QIDQ1697636

Gwan-Woo Jang, Taekyun Kim, Dae San Kim, JongKyum Kwon

Publication date: 20 February 2018

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1636-8

zbMATH Keywords

umbral calculusderangement polynomialsderangement numbers\(r\)-derangement numbers\(r\)-derangement polynomials

Mathematics Subject Classification ID

Umbral calculus (05A40) Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Special sequences and polynomials (11B83)

Related Items (6)

A note on degenerate derangement polynomials and numbers ⋮ Study of degenerate derangement polynomials by \(\lambda\)-umbral calculus ⋮ Some identities involving derangement polynomials and numbers and moments of gamma random variables ⋮ Unnamed Item ⋮ Fourier series of sums of products of r-derangement functions ⋮ Representations of degenerate poly-Bernoulli polynomials

Cites Work

• Identities involving Laguerre polynomials derived from umbral calculus
• On \(\lambda\)-Bell polynomials associated with umbral calculus
• General convolution identities for Apostol-Bernoulli, Euler and Genocchi polynomials
• Derangements and Bell Numbers
• Some identities arising from Sheffer sequences for the powers of Sheffer pairs under umbral composition
• Degenerate ordered Bell numbers and polynomials associated with umbral calculus
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