Artículo
Some extension of the Bessel-type orthogonal polynomials
Autor/es | Arvesú Carballo, Jorge
Álvarez Nodarse, Renato Marcellán Español, Francisco Kwon, Kil Hyun |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 1998 |
Fecha de depósito | 2016-05-31 |
Publicado en |
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Resumen | We consider the perturbation of the classical Bessel moment functional by the addition of the linear functional M0 (x) + M1 0 (x), where M0 and M1 2 IR. We give necessary and su cient conditions in order for this functional ... We consider the perturbation of the classical Bessel moment functional by the addition of the linear functional M0 (x) + M1 0 (x), where M0 and M1 2 IR. We give necessary and su cient conditions in order for this functional to be a quasi-de nite functional. In such a situation we analyze the corresponding sequence of monic orthogonal polynomials B ;M0;M1 n (x). In particular, a hypergeometric representation (4F2) for them is obtained. Furthermore, we deduce a relation between the corresponding Jacobi matrices, as well as the asymptotic behavior of the ratio B ;M0 ;M1 n (x)=B n (x), outside of the closed contour containing the origin and the di erence between the new polynomials and the classical ones, inside. |
Identificador del proyecto | PB 96-0120-C03-01
95-070-02-01-3 BSRI 1420 |
Cita | Arvesú Carballo, J., Álvarez Nodarse, R., Marcellán Español, F. y Kwon, K.H. (1998). Some extension of the Bessel type orthogonal polynomials. Integral Transforms and Special Functions, 7 (3-4), 191-214. |
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