Weyl closure of a linear differential operator
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Publication:1569841
DOI10.1006/jsco.1999.0283zbMath1008.16026OpenAlexW2024131740MaRDI QIDQ1569841
Publication date: 9 January 2003
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jsco.1999.0283
Symbolic computation and algebraic computation (68W30) Rings of differential operators (associative algebraic aspects) (16S32) Ideals in associative algebras (16D25) Computational aspects of associative rings (general theory) (16Z05)
Related Items (12)
A factorization algorithm for \(G\)-algebras and its applications ⋮ Fast computation of the \(N\)-th term of a \(q\)-holonomic sequence and applications ⋮ Removing apparent singularities of linear difference systems ⋮ Minimization of differential equations and algebraic values of 𝐸-functions ⋮ Apparent singularities of linear difference equations with polynomial coefficients ⋮ Linear differential equations on \(\mathbb P^1\) and root systems ⋮ A nullstellensatz for linear partial differential equations with polynomial coefficients ⋮ Algebraic analysis of the hypergeometric function \(_1F_1\) of a matrix argument ⋮ D'Alembertian series solutions at ordinary points of LODE with polynomial coefficients ⋮ Weyl closure of hypergeometric systems ⋮ Linear differential equations as a data structure ⋮ Effective scalar products of D-finite symmetric functions
Uses Software
Cites Work
- Idéaux de germes d'opérateurs différentiels à une variable
- On left ideals in \(A_1\) and their associated graded ideals
- Right ideals of rings of differential operators
- Factorization of differential operators with rational functions coefficients
- Moduli spaces for right ideals of the Weyl algebra
- Gröbner deformations of hypergeometric differential equations
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