Action of divided differences on modified powers

V Prosper (1)

1 LIGM - Laboratoire d'Informatique Gaspard-Monge

Divided differences are operators acting on functions of several variables. We describe this action on the basis of modified powers (that is, x(k) is replaced by (x - a(0))(x - a(1)) ... (x - a(n - 1)). Special cases are of interest when a(i) = q(i) or a(i) = i. (C) 1999 Academic Press.

Domaines: Physique mathématique [math-ph]

V Prosper. Action of divided differences on modified powers. Advances in Applied Mathematics, 1999, 22 (2), pp.190--199. ⟨10.1006/aama.1998.0624⟩. ⟨hal-00694251⟩