Analytic continuation of eigenvalues of the Lamé operator

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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.
15 pages

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Classical Analysis and ODEs, Mathematical Physics, Exactly Solvable and Integrable Systems, 33E10, 34M35, 34L16

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http://salesiana.dossiersoluciones.com/handle/123456789/99905

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311307
 http://arxiv.org/abs/math/0311307

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arXiv