A. J. Durán

activity

20072020

most citedInvariant properties for Wronskian type determinants of classical and classical discrete orthogonal polynomials under an involution of sets of positive integers

5 citations · 9 across the 4 of their papers we have counts for

collaborators

7 papers

math.CA2020★ 1 cited

A proof of the Veselov Conjecture for segments

Antonio J. Duran

In this note, we prove Veselov's conjecture on the zeros of Wronskians whose entries are Hermite polynomials when the degrees of the polynomials are consecutive positive integres.

math.CA2019

Bispectral Laguerre type polynomials

Antonio J. Durán, Manuel D. de la Iglesia

We study the bispectrality of Laguerre type polynomials, which are defined by taking suitable linear combinations of a fixed number of consecutive Laguerre polynomials. These Lague…

math.CA2018

On difference operators for symmetric Krall-Hahn polynomials

Antonio J. Durán, Manuel D. de la Iglesia

The problem of finding measures whose orthogonal polynomials are also eigenfunctions of higher-order difference operators have been recently solved by multiplying the classical dis…

math.CA2016★ 5 cited

Invariant properties for Wronskian type determinants of classical and classical discrete orthogonal polynomials under an involution of sets of positive integers

Guillermo P. Curbera, Antonio J. Duran

Given a finite set $F = {f_{1}, \dots, f_{k}}$ of nonnegative integers (written in increasing size) and a classical discrete family $(p_{n})_{n}$ of orthogonal polynomials (Charlier, Meixn…

math.CA2013

Exceptional Charlier and Hermite orthogonal polynomials

Antonio J. Duran

Using Casorati determinants of Charlier polynomials, we construct for each finite set $F$ of positive integers a sequence of polynomials $r_{n}^{F}$ , $n \in σ_{F}$ , which are eigenfunctio…

math.CA2013★ 3 cited

Constructing bispectral orthogonal polynomials from the classical discrete families of Charlier, Meixner and Krawtchouk

Antonio J. Durán, Manuel D. de la Iglesia

Given a sequence of polynomials $(p_{n})_{n}$ , an algebra of operators $A$ acting in the linear space of polynomials and an operator $D_{p} \in A$ with $D_{p} (p_{n}) = n p_{n}$ …

math.CA2007

Second order differential operators having several families of orthogonal matrix polynomials as eigenfunctions

Antonio J. Duran, Manuel D. de la Iglesia

The aim of this paper is to bring into the picture a new phenomenon in the theory of orthogonal matrix polynomials satisfying second order differential equations. The last few year…