Hypergeometric \(E\)-functions and orthogonal Galois groups

DOI10.1006/jabr.1997.7157zbMath0965.11034OpenAlexW2037331202MaRDI QIDQ1378437

Elie Compoint

Publication date: 6 January 1999

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7157

zbMATH Keywords

hypergeometric functionsdifferential Galois groups

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Transcendence theory of other special functions (11J91) Linear ordinary differential equations and systems (34A30) Differential algebra (12H05)

Cites Work

• Siegel normality
• Adherences d'orbite et invariants
• Differential Galois groups of confluent generalized hypergeometric equations: An approach using Stokes multipliers
• On Ramis's solution of the local inverse problem of differential Galois theory
• Les sous-groupes fermes de rang maximum des groupes de Lie clos
• Espaces Homogènes De Stein Des Groupes De Lie Complexes
• Exponential Sums and Differential Equations. (AM-124)
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