Geodesic
A Note on Divided Differences
Publications de l'Institut Mathématique, _N_S_98 (2015) no. 112, p. 147 .

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We obtain a new recurrence formula for sequences of divided differences. In a particular case, the recurrence formula simplifies to the classical Newton--Girard identities relating power sums and elementary symmetric polynomials.
DOI : 10.2298/PIM1512147G
Classification : 65Q30, 41A05
Keywords: divided differences, Lagrange interpolation, Newton--Girard formulae 
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     title = {A {Note} on {Divided} {Differences}},
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Ioan Gavrea; Mircea Ivan. A Note on Divided Differences. Publications de l'Institut Mathématique, _N_S_98 (2015) no. 112, p. 147 . doi : 10.2298/PIM1512147G. http://geodesic.mathdoc.fr/articles/10.2298/PIM1512147G/

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