Overview of the OrthogonalSeries Package - Maple Programming Help

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Overview of the OrthogonalSeries Package

 

Calling Sequence

Description

List of OrthogonalSeries Package Commands

Examples

Calling Sequence

OrthogonalSeries[command](arguments)

command(arguments)

Description

• 

The OrthogonalSeries package contains commands to manipulate series of classical orthogonal polynomials or, more generally, hypergeometric polynomials.

• 

Each command in the OrthogonalSeries package can be accessed by using either the long form or the short form of the command name in the command calling sequence.

  

As the underlying implementation of the OrthogonalSeries package is a module, it is also possible to use the form OrthogonalSeries:-command to access a command from the package. For more information,  see Module Members.

List of OrthogonalSeries Package Commands

  

The following is a list of available commands.

Add

ApplyOperator

ChangeBasis

Coefficients

ConvertToSum

Copy

Create

Degree

Derivate

DerivativeRepresentation

Evaluate

GetInfo

Multiply

PolynomialMultiply

ScalarMultiply

SimplifyCoefficients

Truncate

 

 

 

  

To display the help page for a particular OrthogonalSeries commands, see Getting Help with a Command in a Package.

Examples

withOrthogonalSeries:

Createun,HermiteHn,x

n=0∞unHermiteHn,x

(1)

CChangeBasis1+3yx2+y3x,ChebyshevTn,x,ChebyshevUm,y

C:=ChebyshevT0,xChebyshevU0,y+34ChebyshevT0,xChebyshevU1,y+12ChebyshevT1,xChebyshevU1,y+34ChebyshevT2,xChebyshevU1,y

(2)

EvaluateC

3x2y+xy+1

(3)

See Also

ChebyshevT

ChebyshevU

HermiteH

UsingPackages

 


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