compute closed forms of indefinite sums of polynomials - Maple Help

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SumTools[IndefiniteSum][Polynomial] - compute closed forms of indefinite sums of polynomials

Calling Sequence

Polynomial(f, k)

Parameters

f

-

polynomial in k

k

-

name

Description

• 

The Polynomial(f, k) command computes a closed form of the indefinite sum of f with respect to k.

• 

Polynomials are summed using a formula based on Bernoulli polynomials.

Examples

withSumTools[IndefiniteSum]:

p:=68y217x2y298xy336x4y+40x3y2+22x2y3

p:=36x4y+40x3y2+22x2y317x2y298xy3+68y2

(1)

dpx:=Polynomialp,x

dpx:=3916y2x60x2y3+1583xy3+223x3y3773x3y2+372x2y2+10y2x4365yx5+18x4y12yx3+65yx

(2)

expandpdpxx=x+1|dpxx=x+1dpx

0

(3)

dpy:=Polynomialp,y

dpy:=18y2x4+18x4y+403x3y3503x2y3+683y320x3y2+14x2y234y2+203yx3176x2y+343y+112x2y4492xy4+49xy3492y2x

(4)

expandpdpyy=y+1|dpyy=y+1dpy

0

(5)

See Also

SumTools[IndefiniteSum], SumTools[IndefiniteSum][Indefinite]


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