RT Journal Article
T1 A matrix approach for the semiclassical and coherent orthogonal polynomials
A1 Garza Gaona, Lino Gustavo
A1 Garza Gaona, Luis Enrique
A1 Marcellán Español, Francisco José
A1 Pinzon Cortés, Natalia Camila
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.
PB Elsevier
SN 0096-3003
YR 2015
FD 2015-04-01
LK https://hdl.handle.net/10016/23329
UL https://hdl.handle.net/10016/23329
LA eng
NO The work of the first author was supported by a grant of the Secretaría de Educación Pública of México and the MexicanGovernment. The work of the second author was supported by Consejo Nacional de Ciencia y Tecnología of México, Grant156668. The work of the third author was supported by Dirección General de Investigación Científica y Técnica, Ministeriode Economía y Competitividad of Spain, Grant MTM2012 36732 C03 01.
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RD 18 may. 2024