4 citations · 8 across the 6 of their papers we have counts for
6 papers
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…
On a new class of 2-orthogonal polynomials, II_The integral representations
Khalfa Douak, Pascal Maroni
A new class of 2-orthogonal polynomials satisfying orthogonality conditions with respect to a pair of linear functionals was presented in Douak K & Maroni P [On a new c…
Appell polynomial sequences with respect to some differential operators
Pascal Maroni, Teresa A. Mesquita
We present a study of a specific kind of lowering operator, herein called , which is defined as a finite sum of lowering operators, proving that this configuration can be altere…
On a nonorthogonal polynomial sequence associated with Bessel operator
Ana F. Loureiro, P. Maroni, S. Yakubovich
By means of the Bessel operator a polynomial sequence is constructed to which several properties are given. Among them, its explicit expression, the connection with the Euler numbe…