Moments of complex B-splines. (English) Zbl 1263.41004
Summary: A relation between double Dirichlet averages and multivariate complex B-splines is presented. Based on this relationship, a formula for the computation of certain moments of multivariate complex B-splines is derived. In addition, an infinite-dimensional analogue of the Lauricella function \(F_B\) is defined and a relation to the moments of multivariate complex B-splines is presented.
MSC:
41A15 | Spline approximation |
26A33 | Fractional derivatives and integrals |
41A63 | Multidimensional problems |
33C65 | Appell, Horn and Lauricella functions |