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Título:
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Exceptional orthogonal polynomials and the Darboux transformation
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Autores:
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Gómez-Ullate Otaiza, David ;
Kamran, N. ;
Milson, R.
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Tipo de documento:
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texto impreso
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Editorial:
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IOP publishing ltd, 2010-10-29
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Física: Física-Modelos matemáticos
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Materia = Ciencias: Física: Física matemática
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Tipo = Artículo
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Resumen:
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We adapt the notion of the Darboux transformation to the context of polynomial Sturm-Liouville problems. As an application, we characterize the recently described X(m) Laguerre polynomials in terms of an isospectral Darboux transformation. We also show that the shape invariance of these new polynomial families is a direct consequence of the permutability property of the Darboux-Crum transformation.
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En línea:
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https://eprints.ucm.es/id/eprint/30805/1/gomez-ullate11preprint.pdf
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