par Baye, Daniel Jean 
Référence Journal of Physics A: Mathematical and Theoretical, 44, page (395204)
Publication Publié, 2011
Référence Journal of Physics A: Mathematical and Theoretical, 44, page (395204)
Publication Publié, 2011
Article révisé par les pairs
| Résumé : | Exact values are derived for some matrix elements of Lagrange functions, i.e. orthonormal cardinal functions, constructed from orthogonal polynomials. They are obtained with exact Gauss quadratures supplemented by corrections. In the particular case of LagrangeâLaguerre and shifted LagrangeâJacobi functions, sum rules provide exact values for matrix elements of 1/ x and 1/ x 2 as well as for the kinetic energy. From these expressions, new sum rules involving Laguerre and shifted Jacobi zeros and weights are derived. |
