Polynomial solution of recurrence relation and differential equation
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We propose a REDUCE implementation of the SHORE compatibility criterion between recurrence relation and second order linear homogenous differential equation both satisfied by orthogonal polynomials. We discuss some different strategies developed around the symbolic matrix triangularization in the light of meaningful classical and semi-classical cases.
[1] A. Ronveaux,et al. Co-recursive orthogonal polynomials and fourth-order differential equations , 1989 .
[2] Alston S. Householder,et al. The Theory of Matrices in Numerical Analysis , 1964 .
[3] Yvon Siret,et al. Calcul formel : systemes et algorithmes de manipulations algebriques , 1986 .
[4] Tom H. Koornwinder,et al. Orthogonal Polynomials With Weight Function (1 - x) α ( l + x) β + M δ(x + 1) + Nδ(x - 1) , 1984, Canadian Mathematical Bulletin.