Decomposition of Laguerre polynomials with respect to the cyclic group of order \(n\)

DOI10.1016/S0377-0427(98)00145-9zbMath0930.33003OpenAlexW2023223647MaRDI QIDQ1298549

Youssèf Ben Cheikh

Publication date: 16 February 2000

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(98)00145-9

zbMATH Keywords

Laguerre polynomialBrafman polynomialshyper-Bessel functions

Mathematics Subject Classification ID

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

Related Items

Applications of a decomposition of holomorphic mappings in \(\mathbb C^n\) with respect to a cyclic group ⋮ On \(q\)-difference equations and \(\mathbb{Z}_n\) decompositions of \(\exp_q\) function ⋮ Differential equations satisfied by the components with respect to the cyclic group of order \(n\) of some special functions ⋮ Generalized hyperbolic functions, circulant matrices and functional equations

Cites Work

• On \(q\)-generating functions and certain formulas of David Zeitlin
• Some Generating Functions for Laguerre and Hermite Polynomials
• LES POLYNÔMES ORTHOGONAUX „CLASSIQUES“ DE DIMENSION DEUX
• An Identity for Simplifying Certain Generalized Hypergeometric Function
• Some Polynomials Defined by Generating Relations
• On the Sheffer A-Type of Polynomials Generated by φ(t)f(xt)
• Generating Functions for Bessel and Related Polynomials
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