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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.
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Submitted on : Thursday, May 3, 2012 - 11:18:42 PM
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V Prosper. Action of divided differences on modified powers. Advances in Applied Mathematics, Elsevier, 1999, 22 (2), pp.190--199. ⟨10.1006/aama.1998.0624⟩. ⟨hal-00694251⟩



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