1 citations · 1 across the 3 of their papers we have counts for
5 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 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…
Symbolic approach to the general quadratic polynomial decomposition
Ângela Macedo, Teresa Mesquita, Zélia da Rocha
In this work we deal with a symbolic approach to the general quadratic polynomial decomposition. By means of a symbolic implementation, we investigate some properties of the compon…
On connection coefficients, zeros and interception points of some perturbed of arbitrary order of the Chebyshev polynomials of second kind
Zélia da Rocha
Orthogonal polynomials satisfy a recurrence relation of order two, where appear two coefficients. If we modify one of these coefficients at a certain order, we obtain a perturbed o…