On poly-Bernoulli polynomials of the second kind with umbral calculus viewpoint

DOI10.1186/s13662-015-0362-5zbMath1348.11019OpenAlexW2090247313WikidataQ59425835 ScholiaQ59425835MaRDI QIDQ318652

Toufik Mansour, Taekyun Kim, Dae San Kim, Dmitry V. Dolgy

Publication date: 5 October 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0362-5

zbMATH Keywords

Stirling numbersumbral calculusBernoulli polynomialspoly-Bernoulli polynomials

Mathematics Subject Classification ID

Umbral calculus (05A40) Bernoulli and Euler numbers and polynomials (11B68)

Related Items (2)

Fully degenerate poly-Bernoulli numbers and polynomials ⋮ A note on degenerate poly-Bernoulli numbers and polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An integral representation, complete monotonicity, and inequalities of Cauchy numbers of the second kind
• Representations of monomiality principle with Sheffer-type polynomials and boson normal ordering
• More on the umbral calculus, with emphasis on the \(q\)-umbral calculus
• Poly-Bernoulli numbers
• Some identities of Frobenius-Euler polynomials arising from umbral calculus
• Applications of umbral calculus associated with \(p\)-adic invariant integrals on \(\mathbb Z_p\)
• A note on poly-Bernoulli numbers and polynomials of the second kind
• Identities involving Laguerre polynomials derived from umbral calculus
• Some results for the Apostol-Genocchi polynomials of higher order
• UMBRAL DEFORMATIONS ON DISCRETE SPACE–TIME
• A note on the Frobenius-Euler numbers and polynomials associated with Bernstein polynomials
• Higher-order Cauchy of the second kind and poly-Cauchy of the second kind mixed type polynomials
• Heisenberg algebra, umbral calculus and orthogonal polynomials

This page was built for publication: On poly-Bernoulli polynomials of the second kind with umbral calculus viewpoint