It is well known that the classical families of Jacobi, Laguerre, Hermite, and Bessel
polynomials are characterized as eigenvectors of a second order linear differential operator …

In this paper we present a unified distributional study of the classical discrete q-polynomials
(in the Hahn's sense). From the distributional q-Pearson equation we will deduce many of …

Using the functional approach, we state and prove a characterization theorem for classical
orthogonal polynomials on non-uniform lattices (quadratic lattices of a discrete or aq …

The q-classical orthogonal polynomials of the q-Hahn Tableau are characterized from their
orthogonality condition and by a first and a second structure relation. Unfortunately, for the q …

In this paper we continue the study of the q-classical (discrete) polynomials (in the Hahn's
sense) started in Medem et al.(this issue, Comput. Appl. Math. 135 (2001) 157–196). Here …

We study a family of type II multiple orthogonal polynomials. We consider orthogonality
conditions with respect to a vector measure, in which each component is aq-analogue of the …

An explicit structure relation for Askey–Wilson polynomials is given. This involves a divided
q-difference operator which is skew symmetric with respect to the Askey–Wilson inner …

We argue that one can factorize the difference equation of hypergeometric type on non-
uniform lattices in the general case. It is shown that in the most cases of q-linear spectrum of …

We introduce a new family of special functions, namely $ q $-Charlier multiple orthogonal
polynomials. These polynomials are orthogonal with respect to $ q $-analogues of Poisson …

It is well known that the classical families of orthogonal polynomials are characterized as the
polynomial eigenfunctions of a second order homogeneous linear differential/difference …