LREtools - Summation and Difference Equations - Discrete Mathematics - Mathematics - Maple Help - Maplesoft

# LREtools

## Category Documents

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LREtools/IsDesingularizable
test for desingularizable linear recurrence equations

LREtools/REcontent
content of a recurrence operator

LREtools/REcreate
create an RESol from a recurrence equation

LREtools/REplot
two-dimensional plot of values from a sequence defined by a recurrence equation

LREtools/REreduceorder
apply the method of reduction of order to a LRE

LREtools/REtoDE
convert a recurrence into a differential equation

LREtools/REtodelta
return the difference operator associated to the LRE

LREtools/REtoproc
convert a recurrence into a procedure

LREtools/ValuesAtPoint
formulas for the values of the solution of difference equation and its derivatives of the given order and at the given point.

LREtools/polysols
find polynomial solutions of Linear Recurrence equations

LREtools/riccati
find solutions of Riccati Recurrence equations

LREtools/shift
integer shift of an expression

RESol
data structure to represent the solution of a recurrence equation

LREtools/HypergeometricTerm/HGDispersion
return the hypergeometric dispersion of two polynomials depending on a hypergeometric term

LREtools/HypergeometricTerm/IsSolution
verify whether an expression is a solution of a linear difference equation depending on a hypergeometric term

LREtools/HypergeometricTerm/PolynomialSolution
return the polynomial solution of linear difference equation depending on a hypergeometric term

LREtools/HypergeometricTerm/RationalSolution
return the rational solution of linear difference equation depending on a hypergeometric term

LREtools/HypergeometricTerm/SubstituteTerm
return solution with a directly substituted hypergeometric term instead of a name representing it in the solution

LREtools/HypergeometricTerm/UniversalDenominator
return the universal denominator of the rational solutions for a difference equation depending on a hypergeometric term

LREtools/HypergeometricTerm
Overview of the LREtools[HypergeometricTerm] Subpackage

LREtools/AnalyticityConditions
analyticity conditions for the solution of linear difference equation.

LREtools/constcoeffsol
find all solutions of linear recurrence equations with constant coefficients

LREtools/dispersion
compute dispersion of two polynomials

LREtools/divconq
find solutions of "divide and conquer" recurrence equations

LREtools/firstlin
find solutions of First Order Linear Recurrence Equations

LREtools
Overview of the LREtools Package

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