Extended Laguerre polynomials associated with Hermite, Bernoulli, and Euler numbers and polynomials

DOI10.1155/2012/957350zbMath1258.33006OpenAlexW1983357429WikidataQ58697171 ScholiaQ58697171MaRDI QIDQ1925468

Dae San Kim, Taekyun Kim

Publication date: 18 December 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/957350

zbMATH Keywords

Bernoulli numbers and polynomialsEuler numbers and polynomialsExtended Laguerre polynomialsHermite numbers and 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 (6)

Some identities of Laguerre polynomials arising from differential equations ⋮ Representing by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first kind and Lucas polynomials ⋮ Expressing sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials by several orthogonal polynomials ⋮ Representation by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first, third and fourth kinds ⋮ Connection problem for sums of finite products of Chebyshev polynomials of the third and fourth kinds ⋮ Connection problem for sums of finite products of Legendre and Laguerre polynomials

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