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arXiv · math-ph/9908002

A New Algebraization of the Lame Equation

F. Finkel·A. Gonzalez-Lopez·M. A. Rodriguez
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Abstract

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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F. Finkel, A. Gonzalez-Lopez, M. A. Rodriguez. 1999-08-02. A New Algebraization of the Lame Equation. https://doi.org/10.1088/0305-4470%2F33%2F8%2F303

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