A New Algebraization of the Lame Equation

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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References in corpus (1)

• On the families of orthogonal polynomials associated to the Razavy potential

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