Factorization of differential operators with rational functions coefficients
From MaRDI portal
Publication:1376579
DOI10.1006/jsco.1997.0151zbMath0886.68082OpenAlexW2157748663MaRDI QIDQ1376579
Publication date: 27 January 1998
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/e7822cf43a05e2f2c90bf599de4d3229a9ef12de
Symbolic computation and algebraic computation (68W30) Linear ordinary differential equations and systems (34A30) Abstract differential equations (12H20)
Related Items (44)
Absolute reducibility of differential operators and Galois groups ⋮ Loewy decomposition of linear differential equations ⋮ Distributive lattices of right divisors of linear ordinary differential operators ⋮ Factoring linear partial differential operators in \(n\) variables ⋮ An algorithm for computing invariants of differential Galois groups ⋮ A modular algorithm for computing the exponential solutions of a linear differential operator ⋮ Factorization of ℤ$$ \mathbb {Z}$$-Homogeneous Polynomials in the First q-Weyl Algebra ⋮ Calculating differential Galois groups of parametrized differential equations, with applications to hypertranscendence ⋮ Irreducibility of \(q\)-difference operators and the knot \(7_{4}\) ⋮ On the solutions of holonomic third-order linear irreducible differential equations in terms of hypergeometric functions ⋮ The generating function of Kreweras walks with interacting boundaries is not algebraic ⋮ Efficient algorithms for order basis computation ⋮ The inverse Mellin transform via analytic continuation ⋮ Telescopers for differential forms with one parameter ⋮ Factorization of the Heun's differential operator. ⋮ Minimization of differential equations and algebraic values of 𝐸-functions ⋮ Lattices of right divisors of linear ordinary differential operators ⋮ Satellite unknowns in irreducible differential systems ⋮ Galoisian approach to integrability of Schrödinger equation ⋮ Factorization of linear and nonlinear differential operators: necessary and sufficient conditions ⋮ Automated solution of first order factorizable systems of differential equations in one variable ⋮ On the Solutions of Holonomic Third-Order Linear Irreducible Differential Equations in Terms of Hypergeometric Functions ⋮ Around the numeric-symbolic computation of differential Galois groups ⋮ Computing Galois groups of completely reducible differential equations ⋮ Factoring and decomposing a class of linear functional systems ⋮ Decomposition of ordinary differential polynomials ⋮ Basic Module Theory over Non-commutative Rings with Computational Aspects of Operator Algebras ⋮ On 3-dimensional lattice walks confined to the positive octant ⋮ Factoring polynomials and the knapsack problem ⋮ Irreducibility criteria for skew polynomials. ⋮ Variation of parameters and solutions of composite products of linear differential equations ⋮ Effective descent for differential operators ⋮ Computing periods of rational integrals ⋮ Hypergeometric expressions for generating functions of walks with small steps in the quarter plane ⋮ Counting walks with large steps in an orthant ⋮ Algorithmic approach for formal Fourier series ⋮ An algorithm for the decomposition of differential polynomials in the general case ⋮ Weyl closure of a linear differential operator ⋮ Explicit degree bounds for right factors of linear differential operators ⋮ Finite singularities and hypergeometric solutions of linear recurrence equations ⋮ Computation of formal fundamental solutions ⋮ Kernel inspired factorizations of partial differential operators ⋮ Linear differential operators for polynomial equations ⋮ The SAGEX review on scattering amplitudes Chapter 4: Multi-loop Feynman integrals
This page was built for publication: Factorization of differential operators with rational functions coefficients
