Finkel Morgenstern, FedericoGonzález López, ArtemioRodríguez González, Miguel Ángel2023-06-202023-06-202000-03-030305-447010.1088/0305-4470/33/8/303https://hdl.handle.net/20.500.14352/59720© 2000 IOP Publishing Ltd. Supported in part by DGES Grant PB98-0821.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.engjournal articlehttp://dx.doi.org/10.1088/0305-4470/33/8/303http://iopscience.iop.orghttp://arxiv.org/abs/math-ph/9908002open access51-73Física-Modelos matemáticosFísica matemática