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Journal Articles Advances in Applied Mathematics Year : 1999

Action of divided differences on modified powers

Abstract

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.

Dates and versions

hal-00694251 , version 1 (03-05-2012)

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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⟩
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