Research Communication | Open Access
Volume 2021 | Communication ID 161
Volume 2021 | Communication ID 161
| Extended symbolic Gaussian cubature |
Abdennasser Elidrissi, Jilali Abouir, Brahim Benouahmane
Received |
Accepted |
Published |
January 30, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: The connection between orthogonal polynomials and Gaussian quadrature has been studied. Several generalizations of these two concept to the multivariate case have been suggested. The so-called multivariate homogeneous two-point orthogonal polynomials is used for the appearance of the multivariate homogeneous two-point Padé approximant by using orthogonality conditions and related problems. In this work we will show how this multivariate homogeneous two-point orthogonal polynomials leads to extend the Gaussian cubature rules introduced by B. Benouahmane and A. Cuyt to two-point case. The ...