Matrix orthogonal Laurent polynomials in the unit circle and the theory of Toda-like
integrable systems are connected using the Gauss–Borel factorization of two, left and a right …

We connect the theory of orthogonal Laurent polynomials on the unit circle and the theory of
Toda-like integrable systems using the Gauss–Borel factorization of a Cantero–Moral …

In this contribution, discrete semiclassical orthogonal polynomials of class s≤ 2 are studied.
By considering all possible solutions of the Pearson equation, we obtain the canonical …

Let dν be a measure in ℝ d obtained from adding a set of mass points to another measure
dμ. Orthogonal polynomials in several variables associated with dν can be explicitly …

Three term relations for orthogonal polynomials in several variables associated to a moment
linear functional obtained by a Uvarov modification of a given moment functional are …

For a bilinear form obtained by adding a Dirac mass to a positive definite moment functional
defined in the linear space of polynomials in several variables, explicit formulas of …

We consider a sequence of perturbed matrix orthogonal polynomials caused by some
perturbation on the moments. We find an explicit relation between the perturbed polynomials …

In this paper we present a unified theory for studying the so-called Krall-type discrete
orthogonal polynomials. In particular, the three-term recurrence relation, lowering and …

In this paper, we obtain all the semiclassical linear functionals of class two taking into
account the irreducible expression of the corresponding Pearson equation. We focus our …

An orthogonal polynomial sequence with respect to a regular form (linear functional) u is
said to be semi-classical if there exist a monic polynomial Φ and a polynomial Ψ, with deg …