Federico Finkel et al 2000 J. Phys. A: Math. Gen. 33 1519 doi:10.1088/0305-4470/33/8/303
A new algebraization of the Laméequation
Federico Finkel
, Artemio González-López
and Miguel A Rodríguez
We develop a new way of writing the LaméHamiltonian in Lie-algebraic form. This yields, in a natural way, an explicit formula for both the Lamépolynomials and the classical non-meromorphic Lamé functions in terms of Chebyshev polynomials and of a certain family of weakly orthogonal polynomials.
- PACS
- MSC
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17B45 Lie algebras of linear algebraic groups (See also 14Lxx and 20Gxx)
- Subjects
- Dates
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Issue 8 (3 March 2000)
Received 2 August 1999
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A new algebraization of the Laméequation
Federico Finkel et al 2000 J. Phys. A: Math. Gen. 33 1519
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