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.
N1 - Funding Information:
The work of the first author was supported by a grant of the Secretaría de Educación Pública of México and the Mexican Government. The work of the second author was supported by Consejo Nacional de Ciencia y Tecnología of México, Grant 156668 . The work of the third author was supported by Dirección General de Investigación Científica y Técnica, Ministerio de Economía y Competitividad of Spain, Grant MTM2012–36732-C03–01.
Publisher Copyright:
© 2015 Elsevier Inc.
Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.
PY - 2015/4/1
Y1 - 2015/4/1
N2 - 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 - 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.
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UR - https://www.mendeley.com/catalogue/219ecbf8-e240-37ec-a715-f5357aabf0bb/
U2 - 10.1016/j.amc.2015.01.071
DO - 10.1016/j.amc.2015.01.071
M3 - Article
SN - 0096-3003
VL - 256
SP - 459
EP - 471
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
ER -