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Computation of the characteristic variety and the singular locus of a system of differential equations with polynomial coefficients
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1006/jsco.1994.1046openalex-snapshot
A Gröbner Basis Method for Modules over Rings of Differential Operators
inferredcites →https://doi.org/10.1007/3-540-15984-3_301openalex-snapshot
Some algorithmic questions on ideals of differential operators
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Ideals, Varieties, and Algorithms
inferredcites →https://doi.org/10.1007/978-1-4612-0913-3openalex-snapshot
Gröbner Bases: A Computational Approach to Commutative Algebra
inferredcites →https://doi.org/10.1007/978-1-4757-2181-2openalex-snapshot
Ideals, Varieties, and Algorithms
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Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
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Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
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Gröbner basis and the problem of contiguous relations
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An approach to the zero recognition problem by Buchberger algorithm
inferredcites →https://doi.org/10.1016/b978-0-12-400466-5.50013-5openalex-snapshot
Wronskian Determinants and the Gröbner Representation of a Linear Differential Equation: An Approach to Nonlinear Integrable Systems
inferredcites →https://doi.org/10.1016/s0924-6509(08)x7036-9openalex-snapshot
Rings of Differential Operators
inferredcites →https://doi.org/10.1145/120694openalex-snapshot
Proceedings of the 1991 international symposium on Symbolic and algebraic computation
inferredcites →https://doi.org/10.1145/143242.143362openalex-snapshot
Risa/Asir---a computer algebra system
inferredcites →https://doi.org/10.2977/prims/1195192011openalex-snapshot
On the Maximally Overdetermined System of Linear Differential Equations, I
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Algorithms forb-Functions, Restrictions, and Algebraic Local Cohomology Groups ofD-Modules
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Localization and Primary Decomposition of Polynomial Ideals
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A Localization Algorithm forD-modules
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Introduction to Algorithms for D-Modules with Quiver D-Modules
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Some algorithmic aspects of the D-module theory
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Kinematic singularities of Feynman integrals and principal A-determinants
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A nullstellensatz for linear partial differential equations with polynomial coefficients
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Computing Holonomic D-Modules Associated to a Family of Non-isolated Hypersurface Singularities via Comprehensive Gröbner Systems of PBW Algebra
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Calculation of orthant probabilities by the holonomic gradient method
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Fuchsian systems for Dotsenko–Fateev multipoint correlation functions and similar integrals of hypergeometric type
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Algorithmic stratification of RℋomD (M,N) for regular algebraic D -modules on Cn
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Algorithms for integrals of holonomic functions over domains defined by polynomial inequalities
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Algorithms for D-modules — restriction, tensor product, localization, and local cohomology groups
inferred← citeshttps://doi.org/10.1016/s0022-4049(97)00024-8openalex-snapshot
Algorithms for the b-function and D-modules associated with a polynomial
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ALGEBRAIC ALGORITHMS FOR D-MODULES AND NUMERICAL ANALYSIS
inferred← citeshttps://doi.org/10.1145/190347.190420openalex-snapshot
Algorithms for finding the structure of solutions of a system of linear partial differential equations
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An algorithm to compute the differential equations for the logarithm of a polynomial
inferred← citeshttps://doi.org/10.1145/2930889.2930918openalex-snapshot
Comprehensive Gröbner Systems in Rings of Differential Operators, Holonomic D-modules and B-functions
inferred← citeshttps://doi.org/10.1145/3815436.3815469openalex-snapshot
Computing a holonomic submodule of the partial Weyl closure
inferred← citeshttps://doi.org/10.1215/s0012-7094-97-08705-6openalex-snapshot
An algorithm of computing b-functions
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A Holonomic Ideal Which Annihilates the Fisher-Bingham Integral
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Holonomic Modules Associated with Multivariate Normal Probabilities of Polyhedra
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GRÖBNER BASIS AND SINGULAR LOCUS OF LAURICELLA^|^apos;S HYPERGEOMETRIC DIFFERENTIAL EQUATIONS
inferred← citeshttps://doi.org/10.2748/tmj/1178225300openalex-snapshot
Gröbner bases for $D$-modules on a non-singular affine algebraic variety
inferred← citeshttps://doi.org/10.2969/aspm/07710253openalex-snapshot
Algorithms for $D$-modules, integration, and generalized functions with applications to statistics
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Algorithmic methods for Fuchsian systems of linear partial differential equations
inferred← citeshttps://doi.org/10.2969/jmsj/06630981openalex-snapshot
The singular locus of Lauricella's $F_C$
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Gröbner deformations of regular holonomic systems
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A Holonomic Ideal Annihilating the Fisher-Bingham Integral
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Groebner basis and singular locus of Lauricella's hypergeometric differential equations
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Holonomic gradient method for the probability content of a simplex region with a multivariate normal distribution
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A Localization Algorithm for $D$-modules
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