OrthogonalSeries - Maple Help

Online Help

All Products    Maple    MapleSim


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

OrthogonalSeries

  

Truncate

  

truncate a series

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

Truncate(S, k)

Truncate(S1, [k1,.., kn])

Parameters

S, S1

-

orthogonal series

k, k1, .., kn

-

non-negative integers

Description

• 

The Truncate(S, k) calling sequence truncates S after the kth coefficient.  S must have dimension 1.

• 

The Truncate(S1, [k1,.., kn]) calling sequence truncates S1 by removing ith index coefficients after the kith index. S must have dimension n.

Examples

withOrthogonalSeries:

SCreate1,2,un,n=4..8,GegenbauerCn,1,x

S:=GegenbauerC0,1,x+2GegenbauerC1,1,x+n=48unGegenbauerCn,1,x

(1)

TruncateS,3;TruncateS,6;TruncateS,10

GegenbauerC0,1,x+2GegenbauerC1,1,x

GegenbauerC0,1,x+2GegenbauerC1,1,x+n=46unGegenbauerCn,1,x

GegenbauerC0,1,x+2GegenbauerC1,1,x+n=48unGegenbauerCn,1,x

(2)

SCreaten+1m+1,GegenbauerCn,1,x,LaguerreLm,1,y

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

(3)

TruncateS,2,2

GegenbauerC0,1,xLaguerreL0,1,y+12GegenbauerC0,1,xLaguerreL1,1,y+13GegenbauerC0,1,xLaguerreL2,1,y+2GegenbauerC1,1,xLaguerreL0,1,y+GegenbauerC1,1,xLaguerreL1,1,y+23GegenbauerC1,1,xLaguerreL2,1,y+3GegenbauerC2,1,xLaguerreL0,1,y+32GegenbauerC2,1,xLaguerreL1,1,y+GegenbauerC2,1,xLaguerreL2,1,y

(4)

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