A note on poly-Bernoulli and higher-order poly-Bernoulli polynomials

DOI10.1134/S1061920815010057zbMath1318.11028arXiv1503.08418OpenAlexW1996573705MaRDI QIDQ2354098

Dae San Kim, Taekyun Kim

Publication date: 10 July 2015

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.08418

Mathematics Subject Classification ID

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

Related Items (22)

Degenerate poly-Cauchy polynomials with a \(q\) parameter ⋮ Degenerate poly-Bernoulli polynomials with umbral calculus viewpoint ⋮ A STUDY ON MULTI-STIRLING NUMBERS OF THE FIRST KIND ⋮ On finite-times degenerate Cauchy numbers and polynomials ⋮ Fully degenerate poly-Bernoulli numbers and polynomials ⋮ ON THE (p, q)-POLY-KOROBOV POLYNOMIALS AND RELATED POLYNOMIALS ⋮ Probabilistic Bernoulli and Euler polynomials ⋮ UNIFIED APOSTOL-KOROBOV TYPE POLYNOMIALS AND RELATED POLYNOMIALS ⋮ A note on degenerate poly-Bernoulli numbers and polynomials ⋮ Fourier series of sums of products of poly-Bernoulli functions and their applications ⋮ Degenerate poly-Cauchy polynomials ⋮ Fourier series of higher-order Bernoulli functions and their applications ⋮ Degenerate Cauchy numbers of the third kind ⋮ Some identities of higher order Barnes-type \(q\)-Bernoulli polynomials and higher order Barnes-type \(q\)-Euler polynomials ⋮ Fourier series of sums of products of ordered Bell and poly-Bernoulli functions ⋮ Unnamed Item ⋮ A note on q-analogue of Hermite-poly-Bernoulli numbers and polynomials ⋮ Some applications of degenerate poly-Bernoulli numbers and polynomials ⋮ Unnamed Item ⋮ Notes on the Poly-Korobov polynomials and related polynomials ⋮ On the generalized q-poly-Euler polynomials of the second kind ⋮ On generalized q-poly-Bernoulli numbers and polynomials

Cites Work

• Poly-Bernoulli numbers
• A note on poly-Bernoulli numbers and polynomials of the second kind
• Identities involving Laguerre polynomials derived from umbral calculus
• Some Identities for the Bernoulli, the Euler and the Genocchi Numbers and Polynomials
• 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
• Unnamed Item
• Unnamed Item
• Unnamed Item

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