apply an Ore polynomial to an expression - Maple Help

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OreTools[Apply] - apply an Ore polynomial to an expression

Calling Sequence

Apply(Poly, expr, A)

Parameters

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.

Description

• 

The Apply(Poly, expr, A) calling sequence applies the Ore polynomial Poly to the expression expr.

Examples

withOreTools:

Define the differential algebra.

A:=SetOreRingx,'differential'

A:=UnivariateOreRingx,differential

(1)

L:=OrePolyx21,x,x2

L:=OrePolyx21,x,x2

(2)

ApplyL,fx,A

x21fx+xⅆⅆxfx+x2ⅆ2ⅆx2fx

(3)

Define the shift algebra.

A:=SetOreRingn,'shift'

A:=UnivariateOreRingn,shift

(4)

L:=OrePoly2n+1,2n+1

L:=OrePoly2n1,2n+2

(5)

ApplyL,sn,A

2n1sn+2n+2sn+1

(6)

See Also

OreTools, OreTools/OreAlgebra, OreTools/OrePoly, OreTools[SetOreRing]


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