A generalization of the symmetric classical polynomials: Hermite and Gegenbauer polynomials

DOI10.1080/10652469.2015.1114483zbMath1337.42027OpenAlexW2292691341MaRDI QIDQ2790246

Neila Ben Romdhane, Mohamed Gaied

Publication date: 3 March 2016

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

Full work available at URL: https://doi.org/10.1080/10652469.2015.1114483

zbMATH Keywords

momentsgenerating functionsinversion formula\(d\)-dimensional functional vectorcomponent sets\(d\)-symmetric classical \(d\)-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)

Related Items (4)

Connection and inversion coefficients for basic hypergeometric polynomials ⋮ On a class ofd-symmetric polynomial sets generated byF(xt—R(t)) ⋮ On a class of polynomial sets generated by F(xt−R(t)) ⋮ Three-fold symmetric Hahn-classical multiple orthogonal polynomials

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