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.
@article{TMF_1990_82_1_a1,
author = {A. S. Zhedanov},
title = {The {Toda} chain: {Solutions} with dynamical symmetry and classical orthogonal polynomials},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {11--17},
publisher = {mathdoc},
volume = {82},
number = {1},
year = {1990},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1990_82_1_a1/}
}
TY - JOUR AU - A. S. Zhedanov TI - The Toda chain: Solutions with dynamical symmetry and classical orthogonal polynomials JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1990 SP - 11 EP - 17 VL - 82 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1990_82_1_a1/ LA - ru ID - TMF_1990_82_1_a1 ER -
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/