OreTools
Apply
apply an Ore polynomial to an expression
Calling Sequence
Parameters
Description
Examples
Apply(Poly, expr, A)
Poly
-
Ore polynomial; to define an Ore polynomial, use the OrePoly structure.
expr
Maple expression
A
Ore algebra; to define an Ore algebra, use the SetOreRing function.
The Apply(Poly, expr, A) calling sequence applies the Ore polynomial Poly to the expression expr.
withOreTools:
Define the differential algebra.
A≔SetOreRingx,differential
A≔UnivariateOreRingx,differential
L≔OrePolyx2−1,x,x2
ApplyL,fx,A
x2−1fx+xⅆⅆxfx+x2ⅆ2ⅆx2fx
Define the shift algebra.
A≔SetOreRingn,shift
A≔UnivariateOreRingn,shift
L≔OrePoly−2n+1,2n+1
L≔OrePoly−2n−1,2n+2
ApplyL,sn,A
−2n−1sn+2n+2sn+1
See Also
OreTools/OreAlgebra
OreTools/OrePoly
OreTools[SetOreRing]
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