HolonomicSystems : Index
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AppellF1 -- Appell F1 system of PDE's
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AppellF1(...,Vars=>...) -- Appell F1 system of PDE's
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AppellF1(List) -- Appell F1 system of PDE's
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BasisElts -- differential operators of up to the given order for a quotient polynomial ring
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Canonical Series Tutorial -- Computing series solutions to regular holonomic systems
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createThetaRing (missing documentation)
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cssExpts -- the exponents of the canonical series solutions of I in the direction of a weight vector
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cssExpts(Ideal,List) -- the exponents of the canonical series solutions of I in the direction of a weight vector
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cssExptsMult -- the exponents and multiplicities of the canonical series solutions
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cssExptsMult(Ideal,List) -- the exponents and multiplicities of the canonical series solutions
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cssLeadTerm -- lead term of the canonical series solutions of I
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cssLeadTerm(Ideal,List) -- lead term of the canonical series solutions of I
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diffOps -- differential operators of up to the given order for a quotient polynomial ring
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diffOps(Ideal,ZZ) -- differential operators of up to the given order for a quotient polynomial ring
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diffOps(RingElement,ZZ) -- differential operators of up to the given order for a quotient polynomial ring
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distraction -- the image in the thetaRing of a torus-fixed element or ideal in a Weyl algebra
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distraction(Ideal,Ring) -- the image in the thetaRing of a torus-fixed element or ideal in a Weyl algebra
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distraction(RingElement,Ring) -- the image in the thetaRing of a torus-fixed element or ideal in a Weyl algebra
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eulerOperators -- Euler Operators
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eulerOperators(Matrix,List,PolynomialRing) -- Euler Operators
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eulerOperators(Matrix,PolynomialRing) -- Euler Operators
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gkz -- create the A-hypergeometric system of Gelfand, Kapranov and Zelevinsky (GKZ)
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gkz(Matrix,List) -- create the A-hypergeometric system of Gelfand, Kapranov and Zelevinsky (GKZ)
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gkz(Matrix,List,PolynomialRing) -- create the A-hypergeometric system of Gelfand, Kapranov and Zelevinsky (GKZ)
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HolonomicSystems -- Examples of Holonomic D-modules
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indicialIdeal -- the image in the thetaRing of an indicial ideal in a Weyl algebra
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indicialIdeal(Ideal,List) -- the image in the thetaRing of an indicial ideal in a Weyl algebra
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isTorusFixed -- checks if an ideal in a Weyl algebra is torus-fixed
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isTorusFixed(Ideal) -- checks if an ideal in a Weyl algebra is torus-fixed
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nilssonSupport (missing documentation)
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PolyGens -- differential operators of up to the given order for a quotient polynomial ring
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putWeylAlgebra -- transforms output of diffOps into elements of Weyl algebra
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putWeylAlgebra(HashTable) -- transforms output of diffOps into elements of Weyl algebra
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solveFrobeniusIdeal -- solving Frobenius ideals
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solveFrobeniusIdeal(Ideal) -- solving Frobenius ideals
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solveFrobeniusIdeal(Ideal,Ring) -- solving Frobenius ideals
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ThetaRing (missing documentation)
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toricIdealPartials -- create the toric ideal of an integer matrix
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toricIdealPartials(Matrix,PolynomialRing) -- create the toric ideal of an integer matrix
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truncatedCanonicalSeries (missing documentation)
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Vars -- Appell F1 system of PDE's
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WtoT (missing documentation)