A note on high order Bernoulli numbers and polynomials using differential equations

DOI10.1016/j.amc.2014.10.074zbMath1338.11026OpenAlexW2024797855MaRDI QIDQ298633

Young-Hee Kim, Jongsung Choi

Publication date: 21 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.10.074

zbMATH Keywords

ordinary differential equationBernoulli numbersBernoulli polynomials

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (4)

An efficient algorithm to solve damped forced oscillator problems by Bernoulli operational matrix of integration ⋮ Unnamed Item ⋮ Explicit representation of orthonormal Bernoulli polynomials and its application for solving Volterra-Fredholm-Hammerstein integral equations ⋮ Generating functions for finite sums involving higher powers of binomial coefficients: analysis of hypergeometric functions including new families of polynomials and numbers

Cites Work

• Some identities on the high-order \(q\)-Euler numbers and polynomials with weight 0
• Generating functions for \(q\)-Apostol type Frobenius-Euler numbers and polynomials
• On the \(q\)-Euler numbers and polynomials with weight 0
• Identities involving Frobenius-Euler polynomials arising from non-linear differential equations
• Identities of symmetry for generalized Euler polynomials
• Multivariate interpolation functions of higher-order \(q\)-Euler numbers and their applications
• Eulerian Numbers and Polynomials

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