### Abstract

Original language | English |
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Pages (from-to) | 459-471 |

Number of pages | 13 |

Journal | Applied Mathematics and Computation |

DOIs | |

Publication status | Published - 1 Apr 2015 |

Externally published | Yes |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Computational Mathematics
- Applied Mathematics

### Cite this

*Applied Mathematics and Computation*, 459-471. https://doi.org/10.1016/j.amc.2015.01.071

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*Applied Mathematics and Computation*, pp. 459-471. https://doi.org/10.1016/j.amc.2015.01.071

**A matrix approach for the semiclassical and coherent orthogonal polynomials.** / Garza, Lino G.; Garza, Luis E.; Marcellán, Francisco; Pinzón-Cortés, Natalia C.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A matrix approach for the semiclassical and coherent orthogonal polynomials

AU - Garza, Lino G.

AU - Garza, Luis E.

AU - Marcellán, Francisco

AU - Pinzón-Cortés, Natalia C.

PY - 2015/4/1

Y1 - 2015/4/1

N2 - © 2015 Elsevier Inc. 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.

AB - © 2015 Elsevier Inc. 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.

U2 - 10.1016/j.amc.2015.01.071

DO - 10.1016/j.amc.2015.01.071

M3 - Article

SP - 459

EP - 471

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

ER -