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OreTools

  

Apply

  

apply an Ore polynomial to an expression

 

Calling Sequence

Parameters

Description

Examples

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.

ASetOreRingx,'differential'

A:=UnivariateOreRingx,differential

(1)

LOrePolyx21,x,x2

L:=OrePolyx21,x,x2

(2)

ApplyL,fx,A

x21fx+xⅆⅆxfx+x2ⅆ2ⅆx2fx

(3)

Define the shift algebra.

ASetOreRingn,'shift'

A:=UnivariateOreRingn,shift

(4)

LOrePoly2n+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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