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A new algebraization of the Lame equation

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2000

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IOP Publishing
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We develop a new way of writing the Lame Hamiltonian in Lie-algebraic form. This yields, in a natural way, an explicit formula for both the Lame polynomials and the classical non-meromorphic Lame functions in terms of Chebyshev polynomials and of a certain family of weakly orthogonal polynomials.

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© 2000 IOP Publishing Ltd. Supported in part by DGES Grant PB98-0821.

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