The Toda chain: Solutions with dynamical symmetry and classical orthogonal polynomials
Teoretičeskaâ i matematičeskaâ fizika, Tome 82 (1990) no. 1, pp. 11-17

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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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     author = {A. S. Zhedanov},
     title = {The {Toda} chain: {Solutions} with dynamical symmetry and classical orthogonal polynomials},
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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/