RT Journal Article
T1 On classical orthogonal polynomials and the Cholesky factorization of a class of Hankel matrices
A1 Marriaga, Misael E.
A1 Vera de Salas, Guillermo
A1 Latorre, Marta
A1 Muñoz-Alcázar, Rubén José
K1 Funciones (Matemáticas)
AB Classical moment functionals (Hermite, Laguerre, Jacobi, Bessel) can be characterized as those linear functionals whose moments satisfy a second-order linear recurrence relation. In this work, we use this characterization to link the theory of classical orthogonal polynomials and the study of Hankel matrices whose entries satisfy a second-order linear recurrence relation. Using the recurrent character of the entries of such Hankel matrices, we give several characterizations of the triangular and diagonal matrices involved in their Cholesky factorization and connect them with a corresponding characterization of classical orthogonal polynomials.
PB World Scientific Publishing Company
YR 2024
FD 2024-04
LK https://hdl.handle.net/10630/33291
UL https://hdl.handle.net/10630/33291
LA eng
NO Misael E. Marriaga, Guillermo Vera de Salas, Marta Latorre, and Rubén Muñoz Alcázar. On classical orthogonal polynomials and the Cholesky factorization of a class of Hankel matrices. Bulletin of Mathematical SciencesVol. 14, No. 01, 2350006 (2024) https://doi.org/10.1142/S1664360723500066
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026