Symbolic approach to the general cubic decomposition of polynomial sequences. Results for several orthogonal and symmetric cases

Symbolic computation and algebraic computation (68W30) 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) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Related Items (6)

Two-orthogonal polynomial sequences as eigenfunctions of a third-order differential operator ⋮ Quadratic decomposition of bivariate orthogonal polynomials ⋮ Several characterizations of third-degree semiclassical linear forms of class two appearing via cubic decomposition ⋮ Symbolic approach to the general quadratic polynomial decomposition ⋮ On a 2-orthogonal polynomial sequence via quadratic decomposition ⋮ A description of second degree semiclassical forms of class two arising via cubic decomposition

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