Linearization of the product of orthogonal polynomials of a discrete variable
Belmehdi, Saïd ; Lewanowicz, Stanisław ; Ronveaux, André
Applicationes Mathematicae, Tome 24 (1997), p. 445-455 / Harvested from The Polish Digital Mathematics Library
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Let Pk be any sequence of classical orthogonal polynomials of a discrete variable. We give explicitly a recurrence relation (in k) for the coefficients in PiPj=∑kc(i,j,k)Pk, 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 Pk.

Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:219184 
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Belmehdi, Saïd; Lewanowicz, Stanisław; Ronveaux, André. Linearization of the product of orthogonal polynomials of a discrete variable. Applicationes Mathematicae, Tome 24 (1997) pp. 445-455. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv24i4p445bwm/

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