On Ore rings, linear operators and factorization

zbMath0828.16035MaRDI QIDQ1894543

Manuel Bronstein, Marko Petkovsek

Publication date: 1 August 1995

Published in: Programming and Computer Software (Search for Journal in Brave)

zbMATH Keywords

difference operatorsOre polynomialsconvolution type operatorslinear operatorslogarithmic derivativesfactorization algorithms\(q\)-difference operators

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Polynomials in real and complex fields: factorization (12D05) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Computational aspects of associative rings (general theory) (16Z05) Ore rings, multiplicative sets, Ore localization (16U20)

Related Items (5)

Decomposition of ordinary difference polynomials ⋮ Green's functions for reducible functional differential equations ⋮ Particular solutions of linear differential and (\(q\)-) difference systems with hypergeometric right-hand sides ⋮ Decomposition of ordinary differential polynomials ⋮ Integral Representation and Algorithms for Closed Form Summation

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