Limit relations involving 2-orthogonal polynomials

DOI10.1080/10652469.2020.1798948zbMath1482.33006OpenAlexW3173574447MaRDI QIDQ5154031

Imed Lamiri, Jihen Weslati

Publication date: 1 October 2021

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

Full work available at URL: https://doi.org/10.1080/10652469.2020.1798948

zbMATH Keywords

orthogonal polynomialsrecurrence relationsAskey-schemedifference and differential equationshypergeometric \(d\)-orthogonal polynomials

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)

Uses Software

• Maple
• SumTools

Cites Work

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• \(d\)-orthogonality of discrete \(q\)-Hermite type polynomials
• Vector orthogonal relations. Vector QD-algorithm
• \(d\)-orthogonality via generating functions
• \(d\)-Orthogonality of Hermite type polynomials
• The Askey scheme as a four-manifold with corners
• On Askey-scheme and \(d\)-orthogonality. I: A characterization theorem
• Multiple orthogonal polynomials
• On \(d\)-orthogonal Tchebychev polynomials. I
• On \(d\)-orthogonal Tchebychev polynomials. II
• On a system of ``classical polynomials of simultaneous orthogonality
• The relation of the \(d\)-orthogonal polynomials to the Appell polynomials
• Some generalized hypergeometric \(d\)-orthogonal polynomial sets
• Hypergeometric summation. An algorithmic approach to summation and special function identities
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• LES POLYNÔMES ORTHOGONAUX „CLASSIQUES“ DE DIMENSION DEUX
• Multiple orthogonal polynomials associated with macdonald functions

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