Francisco Marcellán, nuevo presidente de la Real Sociedad Matemática Española (RSME)

La Real Sociedad Matemática Española (RSME) es una sociedad científica fundada en 1911 y entre sus objetivos cabe resaltar: La promoción y estímulo de la investigación matemática (la Francisco Marcellán, nuevo presidente de la Real Sociedad Matemática Española (RSME)

Bispectrality for Matrix Laguerre-Sobolev polynomials

In this contribution we deal with sequences of polynomials orthogonal with respect to a Sobolev type inner product. A banded symmetric operator is associated with such a sequence of polynomials according to the higher order difference equation they satisfy. Taking into account the Darboux transformation of the corresponding matrix we deduce the connection with a sequence of orthogonal polynomials associated with a Christoffel perturbation of the measure involved in the standard part of the Sobolev inner product. A connection with matrix orthogonal polynomials is stated. The Laguerre-Sobolev type case is studied as an illustrative example. Finally, the bispectrality of such matrix orthogonal polynomials is pointed out