5 papers
On differential relations of 2-orthogonal polynomials
Teresa Augusta Mesquita
A generic differential operator on the vectorial space of polynomial functions was presented in a recent work and applied in the study of differential relations fulfilled by polyno…
About the (Hahn) classical character of 2-orthogonal solutions of two families of differential equations of third order
Teresa Augusta Mesquita
Considering a differential operator of third order that does not increase the degree of polynomials, we analyse some properties of elements of the dual space of 2-orthogonal polyno…
On a 2-orthogonal polynomial sequence via quadratic decomposition
Teresa Augusta Mesquita
We apply a symbolic approach of the general quadratic decomposition of polynomial sequences - presented in a previous article referenced herein - to polynomial sequences fulfilling…
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…
Around operators not increasing the degree of polynomials
T. Augusta Mesquita, P. Maroni
We present a generic operator simply defined as a linear map not increasing the degree from the vectorial space of polynomial functions into itself and we address the problem o…