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Teoreticheskaya i Matematicheskaya Fizika, 1990, Volume 82, Number 1, Pages 11–17
(Mi tmf5389)
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This article is cited in 9 scientific papers (total in 9 papers)
The Toda chain: Solutions with dynamical symmetry and classical orthogonal polynomials
A. S. Zhedanov
Abstract:
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.
Received: 10.10.1988
Citation:
A. S. Zhedanov, “The Toda chain: Solutions with dynamical symmetry and classical orthogonal polynomials”, TMF, 82:1 (1990), 11–17; Theoret. and Math. Phys., 82:1 (1990), 6–11
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https://www.mathnet.ru/eng/tmf5389 https://www.mathnet.ru/eng/tmf/v82/i1/p11
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Abstract page: | 499 | Full-text PDF : | 210 | References: | 73 | First page: | 1 |
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