Geodesic
The Toda chain: Solutions with dynamical symmetry and classical orthogonal polynomials
Teoretičeskaâ i matematičeskaâ fizika, Tome 82 (1990) no. 1, pp. 11-17 
A. S. Zhedanov. The Toda chain: Solutions with dynamical symmetry and classical orthogonal polynomials. Teoretičeskaâ i matematičeskaâ fizika, Tome 82 (1990) no. 1, pp. 11-17. http://geodesic.mathdoc.fr/item/TMF_1990_82_1_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Solutions of the Toda chain for which the operators of the Lax pair form a Lie algebra with three generators are found. The corresponding eigenvalue problem generates the classical orthogonal polynomials of Kravchuk, Meixner, Pollaczek, Laguerre, Charlier, and Hermite.

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