Identities involving Laguerre polynomials derived from umbral calculus

DOI10.1134/S1061920814010038zbMath1314.33010arXiv1301.3793MaRDI QIDQ2344137

Taekyun Kim

Publication date: 12 May 2015

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

Full work available at URL: https://arxiv.org/abs/1301.3793

zbMATH Keywords

Bernoulli numbersLaguerre polynomialsBernoulli polynomialsEuler polynomialsFrobenius-Euler numbersFrobenius-Euler polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (22)

Degenerate poly-Cauchy polynomials with a \(q\) parameter ⋮ Degenerate poly-Bernoulli polynomials with umbral calculus viewpoint ⋮ Linear differential equations for families of polynomials ⋮ Barnes-type Narumi polynomials ⋮ Some identities of Laguerre polynomials arising from differential equations ⋮ A matrix approach to some identities involving Sheffer polynomial sequences ⋮ On poly-Bernoulli polynomials of the second kind with umbral calculus viewpoint ⋮ Barnes-type degenerate Euler polynomials ⋮ A note on degenerate generalized Laguerre polynomials and Lah numbers ⋮ On \(\lambda\)-Bell polynomials associated with umbral calculus ⋮ An Umbral Calculus Approach to Bernoulli–Padé Polynomials ⋮ Some identities of Bell polynomials ⋮ A note on some identities of derangement polynomials ⋮ Degenerate Mittag-Leffler polynomials ⋮ On degenerate Bell numbers and polynomials ⋮ Identities arising from higher-order Daehee polynomial bases ⋮ Degenerate ordered Bell numbers and polynomials associated with umbral calculus ⋮ On an analogue of Euler polynomials and related to extended fermionic \(p\)-adic integrals on \( \mathbb{Z}_{p} \) ⋮ On the Korobov and Changhee mixed-type polynomials and numbers ⋮ Unnamed Item ⋮ A note on poly-Bernoulli and higher-order poly-Bernoulli polynomials ⋮ Barnes-type Peters polynomial with umbral calculus viewpoint

Cites Work

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• Some identities for the product of two Bernoulli and Euler polynomials
• Special functions related to Dedekind-type DC-sums and their applications
• Genocchi polynomials associated with the umbral algebra
• More on the Bernoulli-Taylor formula for extended umbral calculus
• Formal calculus and umbral calculus
• More on the umbral calculus, with emphasis on the \(q\)-umbral calculus
• Some identities on Bernoulli and Euler polynomials arising from the orthogonality of Laguerre polynomials
• Some identities of Frobenius-Euler polynomials arising from umbral calculus
• Frobenius-Euler polynomials and umbral calculus in the \(p\)-adic case
• On umbral calculus. I
• Some generating functions for Laguerre polynomials
• Some identities on the \(q\)-Euler polynomials of higher order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\)

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