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OrthogonalSeries

  

PolynomialMultiply

  

multiply a series by a polynomial

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

PolynomialMultiply(p, S)

Parameters

S

-

orthogonal series

p

-

polynomial in the variables of S

Description

• 

The PolynomialMultiply(p, S) function returns a series equal to the product of the series S and the polynomial p.

Examples

withOrthogonalSeries:

SCreate1n+1,n=3..7,LaguerreLn,a,z

S:=n=37LaguerreLn,a,zn+1

(1)

S1PolynomialMultiply3+z,S

S1:=3414aLaguerreL2,a,z+1710+120aLaguerreL3,a,z+54+18aLaguerreL7,a,zLaguerreL8,a,z+n=463n+1+a1n+1n+2LaguerreLn,a,z

(2)

SimplifyCoefficientsS1,normal

3414aLaguerreL2,a,z+1710+120aLaguerreL3,a,z+54+18aLaguerreL7,a,zLaguerreL8,a,z+n=463n+5+aLaguerreLn,a,zn+1n+2

(3)

RCreate1,1=8,Charliern,2,x,Charlierm,3,y

R:=8Charlier1,2,xCharlier1,3,y

(4)

R1PolynomialMultiplyx+y3,R

R1:=144Charlier0,2,xCharlier0,3,y776Charlier0,2,xCharlier1,3,y+432Charlier0,2,xCharlier2,3,y800Charlier1,2,xCharlier0,3,y+3792Charlier1,2,xCharlier1,3,y3192Charlier1,2,xCharlier2,3,y+1080Charlier1,2,xCharlier3,3,y216Charlier1,2,xCharlier4,3,y+384Charlier2,2,xCharlier0,3,y2320Charlier2,2,xCharlier1,3,y+1152Charlier2,2,xCharlier2,3,y96Charlier3,2,xCharlier0,3,y+768Charlier3,2,xCharlier1,3,y288Charlier3,2,xCharlier2,3,y64Charlier4,2,xCharlier1,3,y

(5)

See Also

LaguerreL

OrthogonalSeries

OrthogonalSeries[Create]

OrthogonalSeries[SimplifyCoefficients]

 


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