Geodesic
Linearization of the product of orthogonal polynomials of a discrete variable
Applicationes Mathematicae, Tome 24 (1997) no. 4, pp. 445-455.

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Let {$P_k$} be any sequence of classical orthogonal polynomials of a discrete variable. We give explicitly a recurrence relation (in k) for the coefficients in $P_iP_j=\sum_kc(i,j,k)P_k$, in terms of the coefficients σ and τ of the Pearson equation satisfied by the weight function ϱ, and the coefficients of the three-term recurrence relation and of two structure relations obeyed by {$P_k$}.
DOI : 10.4064/am-24-4-445-455
Keywords: linearization coefficients, classical orthogonal polynomials of a discrete variable, recurrence relations

Saïd Belmehdi 1 ; Stanisław Lewanowicz 1 ; André Ronveaux 1

1 
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Saïd Belmehdi; Stanisław Lewanowicz; André Ronveaux. Linearization of the product of orthogonal polynomials of a discrete variable. Applicationes Mathematicae, Tome 24 (1997) no. 4, pp. 445-455. doi : 10.4064/am-24-4-445-455. http://geodesic.mathdoc.fr/articles/10.4064/am-24-4-445-455/

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