The Heun equation and the Calogero-Moser-Sutherland system II: perturbation and algebraic solution
Abstract
We apply a method of perturbation for the BC1 Inozemtsev model from the trigonometric model and show the holomorphy of perturbation.Consequently, the convergence of eigenvalues and eigenfuncions which are expressed as formal power series is proved. We investigate also the relationship between L2 space and some finite dimensional space of elliptic functions.
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