3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.PR2023
The bilateral birth-death chain generated by the associated Jacobi polynomials
Manuel D. de la Iglesia, Claudia Juarez
We give a probabilistic interpretation of the associated Jacobi polynomials, which can be constructed from the three-term recurrence relation for the classical Jacobi polynomials b…
math-ph2018★ 3 cited
The Toda and Painlevé Systems Associated with Semiclassical Matrix-Valued Orthogonal Polynomials of Laguerre Type
Mattia Cafasso, Manuel D. de la Iglesia
Consider the Laguerre polynomials and deform them by the introduction in the measure of an exponential singularity at zero. In [Chen Y., Its A., J. Approx. Theory 162 (2010), 270-2…
math.FA2010
Some examples of matrix-valued orthogonal functions having a differential and an integral operator as eigenfunctions
Manuel D. de la Iglesia
The aim of this paper is to show some examples of matrix-valued orthogonal functions on the real line which are simultaneously eigenfunctions of a second-order differential operato…