1 citations · 1 across the 4 of their papers we have counts for
6 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…
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…