On the link between finite differences and derivatives of polynomials
Résumé
The main aim of this paper to establish the relations between forward, backward and central finite and divided differences (that is discrete analog of the derivative) and partial and ordinary high-order derivatives of the polynomials.
Mots clés
finite differences
divided differences
high order finite differences
high order divided differences
derivative
partial derivative
partial difference
partial divided difference
power
power function
polynomials
binomial
the n-th difference of n-th power
high order derivatives
relation with derivaitves
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