Overview of the LREtools Package - Maple Programming Help

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Overview of the LREtools Package

 

Calling Sequence

Description

List of LREtools Package Commands

List of LREtools Subpackages

Examples

Calling Sequence

LREtools[command](arguments)

command(arguments)

Description

• 

The LREtools package contains commands to manipulate and find certain types of solutions of Linear Recurrence Equations.

• 

The name LRETools can be used as a synonym for LREtools.

• 

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

List of LREtools Package Commands

• 

The following is a list of available commands.

AnalyticityConditions

constcoeffsol

dAlembertiansols

delta

dispersion

divconq

firstlin

HypergeometricTerm

hypergeomsols

IsDesingularizable

polysols

ratpolysols

REcontent

REcreate

REplot

REprimpart

REreduceorder

REtoDE

REtodelta

REtoproc

riccati

shift

ValuesAtPoint

 

  

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

List of LREtools Subpackages

• 

The following is a list of available subpackages.

HypergeometricTerm

 

 

 

Examples

LREtools[REtodelta]un+22un+1+un,un,

LREtoolsΔn2

(1)

recan+22n+1an+1n+nann1=nn+1:

reLREtools[REcreate]rec,an,

re:=RESoln2an+2n2+n+1an+1+n2nan+2=n2n1n+1,an,a1=0,a2=a2,a3=a3,INFO

(2)

LREtools[polysols]re,output=basis

n1,19n4518n319n2+518

(3)

fLREtools[REtoproc]1n2un+1+3un12+12+3n2+n2un,un,u0=1,u2=a

f:=procn::nonnegint, $locali,u0,u1,u2;u0:=−1/2;u1:=a;ifn=1thenu0elifn=2thenu1elseforifrom3ton1dou2:=−3*u0+2*u1*iu1*i/42*i*i;u0:=u1;u1:=u2end do;−3*u0+2*u1*nu1*n/42*n*nend ifend proc

(4)

f10

867739033440640a4166501917203200

(5)

LREtools[REtoDE]18+12ntn+207ntn+1+4+ntn+2,tn,t0=0,t1=2,yz

DESol18z2+13z2y+12z3+7z2zDy+6z,y,y0=0,Dy0=2

(6)

See Also

LREtools[HypergeometricTerm]

LREtools[REcreate]

RESol

rsolve

UsingPackages

 


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