Algebraic properties of Airy operators of small order

DOI10.5802/afst.970zbMath1033.12006OpenAlexW2327186540MaRDI QIDQ5952893

Lotfi Saidane

Publication date: 14 August 2002

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_2000_6_9_3_519_0

zbMATH Keywords

reducibilityD-modulesautodualitydifferential Galois groups

Mathematics Subject Classification ID

Differential algebra (12H05) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Cites Work

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• Complexity of factoring and calculating the GCD of linear ordinary differential operators
• On the calculation of some differential Galois groups
• Siegel normality
• Calcul de facteurs déterminants. (The calculation of determining factors)
• Kovacic's algorithm and its application to some families of special functions
• Reducible hypergeometric operators: Decompositions and differential Galois groups
• Testing reducibility of linear differential operators: A group theoretic perspective
• Exponential Sums and Differential Equations. (AM-124)
• An Eisenstein Criterion for Noncommutative Polynomials

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