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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

S:=n=0∞unChebyshevTn,x

(1)

lprintS

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

RConvertToSumS

R:=n=0∞unChebyshevTn,x

(2)

lprintR

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

See Also

ChebyshevT

lprint

OrthogonalSeries

OrthogonalSeries[Create]

 


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