A matrix approach for the semiclassical and coherent orthogonal polynomials
- ,
- Luis E. Garza,
- Francisco Marcellán,
- Natalia C. Pinzón-Cortés
- Universidad Carlos III de Madrid,
- Universidad de Colima,
- Universidad Autónoma de Madrid,
- Universidad Nacional de Colombia
Research Output: Contribution to journal Article Peer-review
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4
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38
Abstract
We obtain a matrix characterization of semiclassical orthogonal polynomials in terms of the Jacobi matrix associated with the multiplication operator in the basis of orthogonal polynomials, and the lower triangular matrix that represents the orthogonal polynomials in terms of the monomial basis of polynomials. We also provide a matrix characterization for coherent pairs of linear functionals.
Publication Information
Output type
Research Output: Contribution to journal Article Peer-review
Original language
EnglishPages from-to (Number of pages)
Pages 459-471 (13 pages)Journal (Volume, Issue Number)
Applied Mathematics and Computation (Volume 256)Publication milestones
- Published - 01/04/2015
Publication status
Published - 01/04/2015
ISSN
0096-3003Publication IDs
- Scopus: 84922570218
- WOS: 000349979300042
Funding Details
FundersFunding numbers
Mexican Government
-Secretaría de Educación Pública of México
-CONACYT
156668
MINECO
MTM2012–36732-C03–01
DGICT
-