In this paper we study recurrences for Laguerre–Hahn orthogonal polynomials of class one.
It is shown for some families of such Laguerre–Hahn polynomials that the coefficients of the …

A characterization theorem for Laguerre–Hahn orthogonal polynomials on non-uniform
lattices is stated and proved. This theorem proves the equivalence between the Riccati …

A survey is given on sequences of orthogonal polynomials related to Stieltjes functions
satisfying a Riccati type differential equation with polynomial coefficients—the so-called …

We study orthogonal polynomials related to Stieltjes functions satisfying Riccati type
differential equations with polynomial coefficients, AS′= BS 2+ CS+ D, with max {deg (A) …

of the Laguerre–Hahn class, whose Stieltjes functions satisfy a Riccati type differential
equation with polynomial coefficients, which are subject to a deformation parameter t. We …

A system of nonlinear difference equations for recurrence relation coefficients of a modified
Jacobi weight Page 120 Contemporary Mathematics Volume 782 , 2023 https://doi. org/10.1090/conm/782/15724 …

In this paper we study families of semi-classical orthogonal polynomials within class one.
We derive general second or third order ordinary differential equations (with respect to …

We study the Christoffel and Geronimus transformations for Laguerre–Hahn orthogonal
polynomials on the real line. It is analysed the modification on the corresponding difference …

One derives discrete dynamical systems related to Laguerre–Hahn orthogonal polynomials.
One studies deformations of the recurrence relation coefficients of the orthogonal …

It is proved a characterization theorem for semi-classical orthogonal polynomials on non-
uniform lattices that states the equivalence between the Pearson equation for the weight and …