Takemura, Kouichi2021-04-052021-04-052004-02-05Takemura, K. (2004). The Heun equation and the Calogero-Moser-Sutherland system II: Perturbation and algebraic solution. <i>Electronic Journal of Differential Equations, 2004</i>(15), pp. 1-30.1072-6691https://hdl.handle.net/10877/13334We 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.Text30 pages1 file (.pdf)enAttribution 4.0 InternationalHeun equationCalogero-Moser-Sutherland systemInozemtsev modelPerturbationKato-Rellich theoryTrigonometric limitHeun functionAlgebraic solutionArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.