Analytic continuation of eigenvalues of the Lamé operator

Abstract

Eigenvalues of the Lamé 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.

15 pages

Cited by in corpus (1)

• On eigenvalues of Lamé operator