2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99905Eigenvalues 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 pagesClassical Analysis and ODEsMathematical PhysicsExactly Solvable and Integrable Systems33E10, 34M35, 34L16text