Classical orthogonal polynomials with respect to a lowering operator generalizing the Laguerre operator

DOI10.1080/10652469.2012.744006zbMath1279.33012OpenAlexW2075094826MaRDI QIDQ2854310

Baghdadi Aloui, Ridha Sfaxi, Francisco Marcellán

Publication date: 18 October 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2012.744006

zbMATH Keywords

orthogonal polynomialsLaguerre polynomialsintegral formulaslowering and raising operatorsAppel's propertygeneralized Laguerre operator

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (5)

Classical orthogonal polynomials via a second-order linear differential operators ⋮ Chebyshev polynomials of the second kind via raising operator preserving the orthogonality ⋮ Characterization of Laguerre polynomials as orthogonal polynomials connected by the Laguerre degree raising shift operator ⋮ Connection formulas and representations of Laguerre polynomials in terms of the action of linear differential operators ⋮ Unnamed Item

Cites Work

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• Classical orthogonal polynomials: A functional approach
• Über die Jacobischen Polynome und zwei verwandte Polynomklassen
• Quadratic decomposition of Appell sequences

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