Let L be a quasi-definite linear functional defined on the linear space of polynomials with
real coefficients. In the literature, three canonical transformations of this functional are …

We investigate the quadratic decomposition and duality to classify symmetrical H q-
semiclassical orthogonal q-polynomials of class one where H q is the Hahn's operator. For …

In this contribution, we present an overview of standard orthogonal polynomials by using an
algebraic approach. Discrete Darboux transformations of Jacobi matrices are studied. Next …

Given two sequences of monic orthogonal polynomials $\{P_ {n}\} _ {_ {n\geq 0}} $ and $\{B_
{n}\} _ {_ {n\geq 0}} $ such that $ B_ {2n}(x)= P_ {n}(x^{2}), n\geq0, $ we show that the …

SEMICLASSICAL FORMS OF CLASS s = 2: THE SYMMETRIC CASE, WHEN Φ(0) = 0
Introduction. Semiclassical orthogonal polynomials were i Page 1 METHODS AND …

A regular form w is said to be D-Laguerre–Hahn of class the nonnegative integer sw, if there
exist four coprime polynomials Φ (monic), B, C and D (D depends on Φ, B, C) such that the …

En este capıtulo presentamos una breve introducción a la teorıa general de polinomios
ortogonales, incluyendo, sin demostración, algunos resultados básicos acerca de los …

Polynomials orthogonal with respect to a perturbation of the Freud weight function by the
addition of a mass point at zero are considered. These polynomials, called Freud-type …

Consequently comma the authors give the classification of symmetric D hyphen
semiclassical forms of class 1 as a particular case open parenthesis B equiv 0 closing …

In this paper, we obtain all the symmetric semi-classical linear functionals of class three
taking into account the irreducible expression of the corresponding Pearson equation. We …