| Full text | |
| Author(s): |
Total Authors: 4
|
| Affiliation: | [1] Univ Estadual Paulista IBILCE UNESP, Dept Matemat Aplicada, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
[2] Univ Colima, Fac Ciencias, Colima - Mexico
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Applied Mathematics and Computation; v. 221, p. 444-452, SEP 15 2013. |
| Web of Science Citations: | 3 |
| Abstract | |
Given a strongly regular Hankel matrix, and its associated sequence of moments which defines a quasi-definite moment linear functional, we study the perturbation of a fixed moment, i.e., a perturbation of one antidiagonal of the Hankel matrix. We define a linear functional whose action results in such a perturbation and establish necessary and sufficient conditions in order to preserve the quasi-definite character. A relation between the corresponding sequences of orthogonal polynomials is obtained, as well as the asymptotic behavior of their zeros. We also study the invariance of the Laguerre-Hahn class of linear functionals under such perturbation, and determine its relation with the so-called canonical linear spectral transformations. (C) 2013 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 09/13832-9 - Orthogonal polynomials, special functions and applications |
| Grantee: | Dimitar Kolev Dimitrov |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 11/00658-0 - Zeros of orthogonal polynomials |
| Grantee: | Fernando Rodrigo Rafaeli |
| Support Opportunities: | Research Grants - Young Investigators Grants |