Artículo
WKB approximation and Krall-Type orthogonal polynomials
Autor/es | Álvarez Nodarse, Renato
Marcellán Español, Francisco Soares Petronilho, José Carlos |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 1998-10 |
Fecha de depósito | 2016-05-31 |
Publicado en |
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Resumen | We give an uni ed approach to the Krall-type polynomials orthogonal with respect to a positive measure consisting of an absolutely continuous one \perturbed" by the addition of one or more delta Dirac functions. Some ... We give an uni ed approach to the Krall-type polynomials orthogonal with respect to a positive measure consisting of an absolutely continuous one \perturbed" by the addition of one or more delta Dirac functions. Some examples studied by di erent authors are considered from an unique point of view. Also some properties of the Krall polynomials are studied. The three-term recurrence relation is calculated explicitly, as well as some asymptotic formulas. With special emphasis will be considered the second order di erential equations that such polynomials satisfy which allows us to obtain the central moments and the WKB approximation of the distribution of zeros. Some examples coming from quadratic transformation polynomial mappings and tridiagonal periodic matrices are also studied. |
Agencias financiadoras | Comisión Interministerial de Ciencia y Tecnología (CICYT). España Fundação para a Ciência e a Tecnologia. Portugal |
Identificador del proyecto | PB 93-0228-C02-01
BD976 |
Cita | Álvarez Nodarse, R., Marcellán Español, F. y Soares Petronilho, J.C. (1998). WKB approximation and Krall-Type orthogonal polynomials. Acta Applicandae Mathematicae, 54 (1), 27-58. |
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