Artículo
Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters
Autor/es | Durán Guardeño, Antonio José |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2022-08-19 |
Fecha de depósito | 2023-04-19 |
Publicado en |
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Resumen | We construct new examples of bispectral dual Hahn polynomials, i.e., orthogonal polynomials with respect to certain superposition of Christoffel and Geronimus transforms of the dual Hahn measure and which are also ... We construct new examples of bispectral dual Hahn polynomials, i.e., orthogonal polynomials with respect to certain superposition of Christoffel and Geronimus transforms of the dual Hahn measure and which are also eigenfunctions of a higher order difference operator. The new examples have the novelty that they depend on an arbitrary number of continuous parameters. These are the first examples with this property constructed from the classical discrete families. |
Cita | Durán Guardeño, A.J. (2022). Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters. Journal of Approximation Theory, 283, 105811-1. https://doi.org/10.1016/j.jat.2022.105811. |
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