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math.CA2026
A method for generating multivariate multiple orthogonal polynomials
Lidia Fernández, Juan Antonio Villegas
In the framework of multiple orthogonal polynomials (MOPs) and their extension to the multivariate setting, a unified mechanism for generating structured families of multiple ortho…
math.CA2026
A Rodrigues Formula for Multiple Orthogonal Polynomials on the Simplex
Lidia Fernández, Ana Foulquié-Moreno, Juan Antonio Villegas
Rodrigues formulas play a central role in the construction of orthogonal polynomials associated with classical measures. In this paper, we introduce a family of multivariate multip…