We give a survey concerning both very classical and recent results on the electrostatic
interpretation of the zeros of some well-known families of polynomials, and the interplay …

We consider the general theory of the modifications of quasi-definite linear functionals by
adding discrete measures. We analyze the existence of the corresponding orthogonal …

In this contribution we consider sequences of monic polynomials orthogonal with respect to
the standard Freud-like inner product involving a quartic potential< p, q>=∫ R p (x) q (x) e …

Polynomials that are orthogonal with respect to a perturbation of the Freud weight function
by some parameter, known to be modified Freudian orthogonal polynomials, are …

In this contribution we deal with sequences of monic polynomials orthogonal with respect to
the Freud Sobolev-type inner product ⟨ p, q\right ⟩ _ 1= ∫ _ R p (x) q (x) e^-x^ 4 dx+ M_ 0 p …

Motivated by an open problem proposed by MEH Ismail in his monograph “Classical and
quantum orthogonal polynomials in one variable”(Cambridge University Press, 2005), we …

We consider points that are near best for rational interpolation with prescribed poles in the
same sense that Chebyshev points are near best for polynomial interpolation. It is shown …

In this paper, monic polynomials orthogonal with deformation of the Freud-type weight
function are considered. These polynomials fulfill linear differential equations with some …

Semiclassical orthogonal polynomials are polynomials orthogonal with respect to
semiclassical weights. The fascinating link between semiclassical orthogonal polynomials …

In this contribution we obtain some algebraic properties associated with the sequence of
polynomials orthogonal with respect to the Sobolev-type inner product: p, qs=∫ R p (x) q (x) …