DifferenceDelta

DifferenceDelta(f(x), x)

generates a forward difference f(x+1) - f(x)

DifferenceDelta(f(x), {x,n,h})

generates a higher-order forward difference for integers n.

See:

• Wikipedia - Finite difference - Higher-order differences

Examples

>> DifferenceDelta(b(a),a)
-b(a)+b(1+a)

>> DifferenceDelta(b(a),{a,5,c})
-b(a)+5*b(a+c)-10*b(a+2*c)+10*b(a+3*c)-5*b(a+4*c)+b(a+5*c)

Implementation status

• ✅ - full supported

Github

• Implementation of DifferenceDelta