Analytic continuation of eigenvalues of the Lamé operator

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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. © 2006 Elsevier Inc. All rights reserved.

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Takemura, K. (2006). Analytic continuation of eigenvalues of the Lamé operator. Journal of Differential Equations, 228(1), 1–16. https://doi.org/10.1016/j.jde.2006.03.022

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