The Heun equation and the Calogero-Moser-Sutherland system V: generalized Darboux transformations
arXiv:math/0508093 · doi:10.2991/jnmp.2006.13.4.11
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.
24 pages
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Cited by in corpus (4)
- Novel relations and new properties of confluent Heun's functions and their derivatives of arbitrary order
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- Confluence of apparent singularities in multi-indexed orthogonal polynomials: the Jacobi case
- Real-root property of the spectral polynomial of the Treibich-Verdier potential and related problems