On the link between finite differences and derivatives of polynomials

Kolosov Petro (1)

1 Odessa National I.I.Mechnikov University

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: High order derivative; N-th difference of n-th power; Partial derivative; Ode; Pde; Finite difference; divided difference; high order finite difference; derivative; power; power function; Polynomial; Power series; partial difference; Mathematics; Differential calculus; Monomial; Exponential function

Domaines: Mathématiques [math]; Analyse classique [math.CA]; Equations aux dérivées partielles [math.AP]

Kolosov Petro. On the link between finite differences and derivatives of polynomials. 2017. ⟨hal-01350976v3⟩