4 papers
Toda and Laguerre-Freud equations for multiple discrete orthogonal polynomials with an arbitrary number of weights
Itsaso Fernández-Irisarri, Manuel Mañas
In this paper, we extend our investigation into semiclassical multiple discrete orthogonal polynomials by considering an arbitrary number of weights. We derive multiple versions of…
Toda and Laguerre-Freud equations and tau functions for hypergeometric discrete multiple orthogonal polynomials
Itsaso Fernández-Irisarri, Manuel Mañas
In this paper, the authors investigate the case of discrete multiple orthogonal polynomials with two weights on the step line, which satisfy Pearson equations. The discrete multipl…
Laguerre-Freud Equations for three families of hypergeometrical discrete orthogonal polynomials
Itsaso Fernández-Irisarri, Manuel Mañas
The Cholesky factorization of the moment matrix is considered for discrete orthogonal polynomials of hypergeometrical type. We derive the Laguerre-Freud equations when the first mo…
Laguerre-Freud Equations for the Generalized Charlier, Generalized Meixner and Gauss Hypergeometric Orthogonal Polynomials
Itsaso Fernández-Irisarri, Manuel Mañas
The Cholesky factorization of the moment matrix is considered for the generalized Charlier, generalized Meixner, and Gauss hypergeometric discrete orthogonal polynomials. For the g…