On the algebraic and differential Newton-Puiseux polygons

DOI10.1016/S0747-7171(87)80011-1zbMath0639.34009MaRDI QIDQ1100326

B. George

Publication date: 1987

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

zbMATH Keywords

algorithmsymmetric functionsNewton-Puiseux polygon

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30)

Related Items (3)

On super-irreducible forms of linear differential systems with rational function coefficients. ⋮ On rational solutions of systems of linear differential equations ⋮ Formal solutions of differential equations

Cites Work

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• On the identification and stability of formal invariants for singular differential equations
• Un algorithme de calcul de l'invariant de Katz d'un système différentiel linéaire. (An algorithm for the calculation of the Katz invariant of a linear differential system)
• Calcul des invariants de Malgrange et de Gérard-Levelt d'un système différentiel linéaire en un point singulier irrégulier. (The Malgrange and Gérard-Levelt invariants calculus of a differential system linear in an irregular singular point)
• Formes super-irréductibles des systèmes différentiels linéaires. (Super-irreducible forms of linear differential systems)
• Sur les points singuliers des équations différentielles
• Invariants mesurant l'irrégularité en un point singulier des systèmes d'équations différentielles linéaires
• Convergent solutions of ordinary linear homogeneous differential equations in the neighborhood of an irregular singular point

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