Some identities on Bernoulli and Euler polynomials arising from the orthogonality of Laguerre polynomials

DOI10.1186/1687-1847-2012-201zbMath1377.11028OpenAlexW2152292711WikidataQ59271949 ScholiaQ59271949MaRDI QIDQ1690850

Sang-Hun Lee, Taekyun Kim, Dmitry V. Dolgy, Seong-Hoon Rim

Publication date: 12 January 2018

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

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-201

zbMATH Keywords

Laguerre polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (3)

Some identities of Laguerre polynomials arising from differential equations ⋮ Sheffer sequences of polynomials and their applications ⋮ Identities involving Laguerre polynomials derived from umbral calculus

Cites Work

• A new construction on the \(q\)-Bernoulli polynomials
• Special functions related to Dedekind-type DC-sums and their applications
• A note on \(q\)-Bernstein polynomials
• On \(p\)-adic twisted \(q\)-\(L\)-functions related to generalized twisted Bernoulli numbers
• Multivariate interpolation functions of higher-order \(q\)-Euler numbers and their applications
• Symmetry of power sum polynomials and multivariate fermionic \(p\)-adic invariant integral on \(\mathbb Z_p\)
• Some generating functions for Laguerre polynomials
• Orthogonality of Jacobi and Laguerre polynomials for general parameters via the Hadamard finite part
• Some identities on the \(q\)-Euler polynomials of higher order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\)
• On q-Berstein and q-Hermite polynomials
• Note on the Integral of the Product of Several Bernoulli Polynomials
• On the Product of Two Laguerre Polynomials
• Skew-orthogonal Laguerre polynomials for chiral real asymmetric random matrices
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