extract a coefficient from a series - Maple Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Mathematics : Power Series : OrthogonalSeries Package : OrthogonalSeries/Coefficients

OrthogonalSeries[Coefficients] - extract a coefficient from a series

Calling Sequence

Coefficients(S)

Coefficients(S, k)

Coefficients(S, [k1,.., kn])

Parameters

S

-

orthogonal series

k, k1, .., kn

-

integers

Description

• 

The Coefficients(S, k) and Coefficients(S, [k1,.., kn]) calling sequences extract the coefficients of index k and k1,..,kn, respectively, from the series S. In these calling sequences, the dimension of the index must correspond to the dimension of S. Otherwise, an error is returned.

• 

The Coefficients(S) calling sequence returns the general term coefficient of the series S.

Examples

withOrthogonalSeries:

S:=Createn+1m+1,GegenbauerCn,1,x,LaguerreLm,1,y

S:=m=0∞n=0∞n+1GegenbauerCn,1,xm+1LaguerreLm,1,y

(1)

CoefficientsS

n+1m+1

(2)

CoefficientsS,2,3

34

(3)

S1:=Create1,2=4,3,4=7,GegenbauerCn,1,x,LaguerreLm,1,y

S1:=4GegenbauerC1,1,xLaguerreL2,1,y7GegenbauerC3,1,xLaguerreL4,1,y

(4)

CoefficientsS1;CoefficientsS1,1;CoefficientsS1,1,2;CoefficientsS1,2,2

0

Error, (in OrthogonalSeries:-Coefficients) index of different dimension than input

4

0

(5)

S1:=Create1,2=4,3,4=7,an,m,GegenbauerCn,1,x,LaguerreLm,1,y

S1:=4GegenbauerC1,1,xLaguerreL2,1,y7GegenbauerC3,1,xLaguerreL4,1,y+m=0∞n=0∞an,mGegenbauerCn,1,xLaguerreLm,1,y

(6)

CoefficientsS1;CoefficientsS1,1,2;CoefficientsS1,2,2

an,m

a1,2+4

a2,2

(7)

See Also

GegenbauerC, LaguerreL, OrthogonalSeries, OrthogonalSeries[Create]


Download Help Document

Was this information helpful?



Please add your Comment (Optional)
E-mail Address (Optional)
What is ? This question helps us to combat spam