The Heun equation and the Calogero-Moser-Sutherland system II: Perturbation and algebraic solution

We apply a method of perturbation for the $BC_1$ 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 $L...

Full description

Bibliographic Details
Main Author: Kouichi Takemura
Format: Article
Language:English
Published: Texas State University 2004-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2004/15/abstr.html