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The Heun equation and the Calogero-Moser-Sutherland system V: generalized Darboux transformations | Kouichi Takemura
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4 Aug 2005 | Subject: | Classical Analysis and ODEs; Quantum Algebra; Mathematical Physics; Exactly Solvable and Integrable Systems MSC-class: 33E10,34M35,82B23 | math.CA math-ph math.MP math.QA nlin.SI | Abstract: | We obtain isomonodromic transformations for Heun’s equation by generalizing Darboux transformation, and we find pairs and triplets of Heun’s equation which have the same monodromy structure. By composing generalized Darboux transformations, we establish a new construction of the commuting operator which ensures finite-gap property. As an application, we prove conjectures in part III. | Source: | arXiv, math.CA/0508093 | Services: | Forum | Review | PDF | Favorites |
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