Artículos de revistas
Companion orthogonal polynomials: some applications
Fecha
2001-11-01Registro en:
Applied Numerical Mathematics. Amsterdam: Elsevier B.V., v. 39, n. 2, p. 127-149, 2001.
0168-9274
10.1016/S0168-9274(01)00046-0
WOS:000171926800001
3587123309745610
Autor
Universidade de São Paulo (USP)
Universidade Estadual Paulista (Unesp)
Institución
Resumen
In this paper the recurrence relations of symmetric orthogonal polynomials whose measures are related to each other in a certain way are considered. Many of the relations satisfied by the coefficients of the recurrence relations are exposed. The results are applied to obtain, for example, information regarding certain Sobolev orthogonal polynomials and regarding the measures of certain orthogonal polynomial sequences with twin periodic recurrence coefficients. (C) 2001 IMACS. Published by Elsevier B.V. B.V. All rights reserved.