36 citations · 97 across the 42 of their papers we have counts for
44 papers
Symmetrization process and truncated orthogonal polynomials
Diego Dominici, Juan C. García-Ardila, Francisco Marcellán
We define the family of truncated Laguerre polynomials , orthogonal with respect to the linear functional defined by $$\langle{\ell,p\rangle}=\int_{0}^zp(x)x^αe^{-…
Linear functionals and - coherent pairs of the second kind
Diego Dominici, Francisco Marcellán
We classify all the \emph{-}coherent pairs of measures of the second kind on the real line. We obtain cases, corresponding to all the families of discrete semiclassical orth…
Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials
Diego Dominici, Juan José Moreno Balcázar
In this paper we tackle the asymptotic behavior of a family of orthogonal polynomials with respect to a nonstandard inner product involving the forward operator Δ. Concretely, we t…
Truncated Hermite polynomials
Diego Dominici, Francisco Marcellán
We consider the family of polynomials orthogonal with respect to the inner product \[ \left\langle f,g\right\rangle = \int_{-z}^{z} f\left( x\right) g\le…
Orthogonality of the Dickson polynomials of the (k+1)-th kind
Diego Dominici
We study the Dickson polynomials of the (k+1)-th kind over the field of complex numbers. We show that they are a family of co-recursive orthogonal polynomials with respect to a qua…
Discrete semiclassical orthogonal polynomials of class 2
Diego Dominici, Francisco Marcellán Español
In this contribution, discrete semiclassical orthogonal polynomials of class are studied. By considering all possible solutions of the Pearson equation, we obtain the cano…