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 …

When σ is a quasi-definite moment functional. We consider a point mass perturbation T of
σdefined by. where λ and uk, 0≤ k≤ N, are complex numbers and N is a non-negative …

The paper deals with orthogonal polynomials in the case where the orthogonality condition
is related to semiclassical functionals. The polynomials that we discuss are a generalization …

We establish some properties concerning the semi-classical sequence of monic orthogonal
polynomials of class s= 1, verifying the three-recurrence relation with β n=(− 1) n β0, n≥ 0 …

In this paper, we study the Krall-type polynomials on non-uniform lattices. For these
polynomials the second order linear difference equation, q-basic series representation and …

When σ is a quasi‐definite moment functional with the monic orthogonal polynomial system
{P n (x)} n= 0∞, we consider a point masses perturbation τ of σ given by τ:= σ+ λ Σ l= 1 m Σ …

On the Krall-type polynomials Page 1 On the Krall-type polynomials R.Alvarez-Nodarse†, J.
Arvesú‡, and F. Marcellán‡ November 9, 2004 †Departamento de Análisis Matemático …

COMPATIBLE PAIRS OF ORTHOGONAL POLYNOMIALS R(x)Q~)(x) = L Cn,iPi(X), n 2: 0, Page 1
Bull. Korean Math. Soc. 36 (1999), No. 4, pp. 779-797 COMPATIBLE PAIRS OF ORTHOGONAL …