ConvertToSum - Maple Help

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OrthogonalSeries

  

ConvertToSum

  

convert a series to a Maple sum

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

ConvertToSum(S)

Parameters

S

-

orthogonal series

Description

• 

The ConvertToSum(S) function converts the orthogonal series S to a Maple sum.

Examples

withOrthogonalSeries:

SCreateun,ChebyshevTn,x

Sn=0unChebyshevTn,x

(1)

lprintS

ORTHOGONALSERIES(array(0 .. 1,[(0)=(table(sparse,[("dim")=1,("general")=u(n),("table")=(table(sparse,[])),("bounds")=[0, infinity]])),(1)=(table([("index")=n,("variable")=x,("genre")=["ChebyshevT"]]))]))

RConvertToSumS

Rn=0unChebyshevTn,x

(2)

lprintR

Sum(u(n)*ChebyshevT(n,x),n = 0 .. infinity)

See Also

ChebyshevT

lprint

OrthogonalSeries

OrthogonalSeries[Create]