Analytic continuation of eigenvalues of the Lamé operator

Details Analytic continuation of eigenvalues of the Lamé operator Analytic continuation of eigenvalues of the Lamé operator

2003-11-18

arxiv.org/abs/math/0311307v5

Mathematics

Classical Analysis and ODEs

15 pages

Scientific paper

Eigenvalues of the Lam\'e operator are studied as complex-analytic functions
in period $\tau$ 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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