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Analytic continuation of eigenvalues of the Lamé operator

Kouichi Takemura
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Abstract

Eigenvalues of the Lamé operator are studied as complex-analytic functions in period $τ$ of an elliptic function. We investigate the branching of eigenvalues numerically and clarify the relationship between the branching of eigenvalues and the convergent radius of a perturbation series.

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Kouichi Takemura. 2006-01-27. Analytic continuation of eigenvalues of the Lamé operator. https://arxiv.org/abs/math/0311307

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