Perfect bases for differential equations

DOI10.1016/j.jsc.2005.02.001zbMath1131.12003OpenAlexW1991873290MaRDI QIDQ2456581

Sebastian Gann, Herwig Hauser

Publication date: 19 October 2007

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2005.02.001

zbMATH Keywords

differential operatorsdivision theoremperfect bases

Mathematics Subject Classification ID

Differential algebra (12H05) Abstract differential equations (12H20)

Related Items (4)

Standard bases in mixed power series and polynomial rings over rings ⋮ Multivariate linear recurrences and power series division ⋮ Standard bases in \(Kt_1,\ldots ,t_m[x_1,\ldots ,x_n^s\)] ⋮ How regular are regular singularities?

Cites Work

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• Hypergeometric solutions of linear recurrences with polynomial coefficients
• Sur les points singuliers des équations différentielles
• Rational solutions of linear difference and \(q\)-differential equations with polynomial coefficients
• A rank theorem for analytic maps between power series spaces
• Gröbner deformations of hypergeometric differential equations
• Continuous division of differential operators
• Polynomial and rational solutions of holonomic systems

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