1 citations · 1 across the 4 of their papers we have counts for
4 papers
On higher-order differential equations for Laguerre-Hahn orthogonal polynomials
Mohamed Khalfallah, Zélia da Rocha
In this work, we present a constructive method to derive homogeneous linear differential equations of arbitrary order for Laguerre--Hahn orthogonal polynomials. The approach is bas…
On the moments of Laguerre-Hahn linear forms of class zero
Mohamed Khalfallah, Pascal Maroni, Zélia da Rocha
The purpose of this paper is to provide a constructive method for generating the moments of Laguerre-Hahn linear forms of class zero. The approach relies on a general algebraic sys…
On a general method for deriving a fourth-order differential equation satisfied by Laguerre-Hahn orthogonal polynomials with new results for the class 0 analogous to Hermite
Mohamed Khalfallah, Pascal Maroni, Zélia da Rocha
In this work, we develop a constructive method for deriving four structure relations and a fourth-order linear differential equation satisfied by Laguerre-Hahn orthogonal polynomia…
A description of the Laguerre-Hahn orthogonal polynomials of class zero revisited
Mohamed Khalfallah, Pascal Maroni, Zélia da Rocha
This paper has a threefold aim. On the one hand, we provide a complete description of Laguerre-Hahn forms of class zero. This fills a gap in the literature: more precisely, up to a…