Fourth order q-difference equation for the first associated of the q-classical orthogonal polynomials
Copyright policy )Fourth order q-difference equation for the first associated of the q-classical orthogonal polynomials
The authors rely on the methods of [``Fourth-order difference equation for the first associated of classical discrete orthogonal polynomials,'' \textit{A. Ronveaux, E. Godoy, A. Zarzo} and \textit{I. Area}, J. Comput. Appl. Math. 90, No. 1, 45-50 (1998; Zbl 0906.33003)] to derive a single fourth-order \(q\)-difference equation for the first associated of all \(q\)-classical orthogonal polynomials. The coefficients of the equation are specified in terms of the polynomials appearing in Pearson's \(q\)-difference equation defining the weight of the \(q\)-classical orthogonal polynomials in the \(q\)-Hahn tableau.
- Université de Namur Belgium
- University of Namur Belgium
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), fourth-order \(q\)-difference equation, Computational Mathematics, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Fourth-order q-difference equation, Applied Mathematics, q-Orthogonal polynomials, \(q\)-orthogonal polynomials, Additive difference equations
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), fourth-order \(q\)-difference equation, Computational Mathematics, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Fourth-order q-difference equation, Applied Mathematics, q-Orthogonal polynomials, \(q\)-orthogonal polynomials, Additive difference equations
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