Artículo
Asymptotic properties of generalized Laguerre orthogonal polynomials
Autor/es | Álvarez Nodarse, Renato
Moreno Balcázar, Juan José |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2004-06 |
Fecha de depósito | 2016-05-31 |
Publicado en |
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Resumen | In the present paper we deal with the polynomials L(α,M,N) n (x) orthogonal with respect to the Sobolev inner product (p, q) = 1 Γ(α+1) Z ∞ 0 p(x)q(x) x
α e −x dx + M p(0)q(0) + N p 0 (0)q 0 (0), N,M ≥ 0, α > −1, firstly ... In the present paper we deal with the polynomials L(α,M,N) n (x) orthogonal with respect to the Sobolev inner product (p, q) = 1 Γ(α+1) Z ∞ 0 p(x)q(x) x α e −x dx + M p(0)q(0) + N p 0 (0)q 0 (0), N,M ≥ 0, α > −1, firstly introduced by Koekoek and Meijer in 1993 and extensively studied in the last years. We present some new asymptotic properties of these polynomials and also a limit relation between the zeros of these polynomials and the zeros of Bessel function Jα(x). The results are illustrated with numerical examples. Also, some general asymptotic formulas for generalizations of these polynomials are conjectured. |
Identificador del proyecto | FQM 0262
BFM 2000-0206-C04-02 info:eu-repo/grantAgreement/EC/INTAS-2000-00272 FQM 0229 BFM 2001-3878-C02-02 |
Cita | Álvarez Nodarse, R. y Moreno Balcázar, J.J. (2004). Asymptotic properties of generalized Laguerre orthogonal polynomials. Indagationes Mathematicae, 15 (2), 151-165. |
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