Degenerate poly-Bernoulli polynomials with umbral calculus viewpoint

DOI10.1186/s13660-015-0748-7zbMath1333.05037OpenAlexW2126490720WikidataQ59430606 ScholiaQ59430606MaRDI QIDQ264981

Hyuck In Kwon, Dae San Kim, Toufik Mansour, Taekyun Kim

Publication date: 1 April 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-015-0748-7

zbMATH Keywords

umbral calculusdegenerate poly-Bernoulli polynomials

Mathematics Subject Classification ID

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

Related Items (3)

Degenerate poly-Cauchy polynomials with a \(q\) parameter ⋮ Higher-order Frobenius-Euler and poly-Bernoulli mixed-type polynomials ⋮ Fourier series of sums of products of poly-Bernoulli functions and their applications

Cites Work

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• Identities involving values of Bernstein, \(q\)-Bernoulli, and \(q\)-Euler polynomials
• \(q\)-Bernoulli polynomials and \(q\)-umbral calculus
• More on the umbral calculus, with emphasis on the \(q\)-umbral calculus
• A note on degenerate Bernoulli numbers and polynomials associated with \(p\)-adic invariant integral on \(\mathbb{Z}_p\)
• A note on degenerate poly-Bernoulli numbers and polynomials
• Identities involving Laguerre polynomials derived from umbral calculus
• A note on poly-Bernoulli and higher-order poly-Bernoulli polynomials
• A note on the Frobenius-Euler numbers and polynomials associated with Bernstein polynomials

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