\(d\)-symmetric \(d\)-orthogonal polynomials of Brenke type

DOI10.1016/J.JMAA.2014.02.046zbMath1307.42023OpenAlexW2043382980MaRDI QIDQ488761

Neila Ben Romdhane, Youssèf Ben Cheikh

Publication date: 26 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.02.046

zbMATH Keywords

generating functionsorthogonal polynomials\(d\)-orthogonal polynomials\(d\)-dimensional functional vector\(d\)-symmetric polynomialsBrenke polynomialscomponent sets

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 (11)

\(d\)-orthogonality of a generalization of both Laguerre and Hermite polynomials ⋮ On \(d\)-orthogonal polynomials with Brenke type generating functions ⋮ A new class of polynomial functions equipped with a parameter ⋮ Some Characterization Problems Related to Sheffer Polynomial Sets ⋮ Ond-orthogonal polynomials of Sheffer type ⋮ A general theorem on inversion problems for polynomial sets ⋮ Unnamed Item ⋮ On Mittag-Leffler \(d\)-orthogonal polynomials ⋮ On the zeros of $d$-orthogonal Laguerre polynomials and their $q$-analogues ⋮ Some new d-orthogonal polynomial sets of Sheffer type ⋮ On the zeros of some d-orthogonal polynomials

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