On \(d\)-symmetric classical \(d\)-orthogonal polynomials

DOI10.1016/j.cam.2011.03.027zbMath1261.42040OpenAlexW1657338746MaRDI QIDQ645690

Youssèf Ben Cheikh, Neila Ben Romdhane

Publication date: 10 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.cam.2011.03.027

zbMATH Keywords

generating functions\(d\)-orthogonal polynomials\(d\)-symmetric polynomialsBoas-Buck polynomialsclassical \(d\)-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)

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Operational rules and d-orthogonal polynomials of Laguerre type, On a class ofd-symmetric polynomial sets generated byF(xt—R(t)), L-classical d-orthogonal polynomial sets of Sheffer type, Multiple orthogonal polynomials associated with confluent hypergeometric functions, On a class of polynomial sets generated by F(xt−R(t)), A characterization of Dunkl-classical \(d\)-symmetric \(d\)-orthogonal polynomials and its applications, On \(m\)-symmetric \(d\)-orthogonal polynomials, \(d\)-symmetric \(d\)-orthogonal polynomials of Brenke type, On semi‐classical d‐orthogonal polynomials, \(C_\lambda\)-extended oscillator algebra and \(d\)-orthogonal polynomials, A generalization of the symmetric classical polynomials: Hermite and Gegenbauer polynomials, \(d\)-orthogonal analogs of classical orthogonal polynomials, Multiple orthogonal polynomials associated with an exponential cubic weight, On Mittag-Leffler \(d\)-orthogonal polynomials, On some operators varying the dimensional parameters of d-orthogonality, Three-fold symmetric Hahn-classical multiple orthogonal polynomials, Some new d-orthogonal polynomial sets of Sheffer type

Cites Work

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• Vector orthogonal relations. Vector QD-algorithm
• Two-dimensional orthogonal polynomials, their associated sets and the co- recursive sets
• \(d\)-orthogonality via generating functions
• Classical \(2\)-orthogonal polynomials and differential equations
• On the \(2\)-orthogonal polynomials and the generalized birth and death processes
• \(d\)-Orthogonality of Hermite type polynomials
• On Askey-scheme and \(d\)-orthogonality. I: A characterization theorem
• Operational formulas connected with two generalizations of Hermite polynomials
• On \(d\)-orthogonal Tchebychev polynomials. I
• On \(d\)-orthogonal Tchebychev polynomials. II
• On two-orthogonal polynomials related to the Bateman's \(J_n^{u,v}\)-function
• On the classical \(d\)-orthogonal polynomials defined by certain generating functions. II.
• Une caractérisation des polynômes \(d\)-orthogonaux classiques
• The relation of the \(d\)-orthogonal polynomials to the Appell polynomials
• On the classical \(d\)-orthogonal polynomials defined by certain generating functions. I
• Some generalized hypergeometric \(d\)-orthogonal polynomial sets
• \(d\)-orthogonality of Humbert and Jacobi type polynomials
• L'orthogonalité et les récurrences de polynômes d'ordre supérieur à deux
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• LES POLYNÔMES ORTHOGONAUX „CLASSIQUES“ DE DIMENSION DEUX
• A generalized hypergeometric d -orthogonal polynomial set
• Multiple orthogonal polynomials associated with macdonald functions
• ON A CHARACTERIZATION OF MEIXNER'S POLYNOMIALS
• d-Orthogonal Faber polynomials
• Generating Functions for Bessel and Related Polynomials