Laguerre-Freud equations for generalized Hahn polynomials of type I

D Dominici - Journal of Difference Equations and Applications, 2018 - Taylor & Francis
Full article: Laguerre-Freud equations for Generalized Hahn polynomials of type I Skip to Main
Content Taylor and Francis Online homepage Taylor and Francis Online homepage Access …

Matrix factorizations and orthogonal polynomials

D Dominici - Random Matrices: Theory and Applications, 2020 - World Scientific
Matrix factorizations and orthogonal polynomials Page 1 Random Matrices: Theory and
Applications Vol. 9, No. 1 (2020) 2040003 (33 pages) c© World Scientific Publishing Company …

On semi-classical orthogonal polynomials associated with a modified sextic Freud-type weight

AS Kelil, AR Appadu - Mathematics, 2020 - mdpi.com
Polynomials that are orthogonal with respect to a perturbation of the Freud weight function
by some parameter, known to be modified Freudian orthogonal polynomials, are …

Laguerre–Hahn orthogonal polynomials on the real line

MDN Rebocho - Random Matrices: Theory and Applications, 2020 - World Scientific
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 …

Laguerre–Freud equations associated with the D-Laguerre–Hahn forms of class one

M Sghaier, M Zaatra, A Khlifi - Advances in Pure and Applied …, 2019 - degruyter.com
We give the system of Laguerre–Freud equations for the recurrence coefficients β n, γ n+ 1,
n≥ 0, of orthogonal polynomials with respect to a D-Laguerre–Hahn form (linear functional) …

Nonlinear difference equations for a modified Laguerre weight: Laguerre-Freud equations and asymptotics

Y Chen, G Filipuk, M das Neves Rebocho - 2019 - repository.um.edu.mo
In this paper we derive second and third order nonlinear difference equations for one of the
recurrence coefficients in the three term recurrence relation of polyno¬ mials orthogonal with …

Classification of Laguerre–Hahn orthogonal polynomials of class one

G Filipuk, MN Rebocho - Mathematische Nachrichten, 2020 - Wiley Online Library
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) …

Cubic decomposition of a Laguerre–Hahn linear functional I.

F Marcellán, M Khalfallah - Journal of Analysis & Its Applications …, 2024 - content.ems.press
The aim of this contribution is to study orthogonal polynomials via cubic decomposition in
the framework of the Laguerre–Hahn class. We consider two monic orthogonal polynomial …

Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials

M das Neves Rebocho, N Witte - Nonlinearity, 2023 - iopscience.iop.org
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

Y Chen, G Filipuk, MN Rebocho - Recent trends in formal and …, 2023 - books.google.com
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 …