Holonomic systems with solutions ramified along a cusp
[Systèmes holonomes avec solutions ramifiées le long d'un cusp]
Neto, Orlando1 ; Silva, Pedro C.1
1 CMAF, Av. Prof. Gama Pinto 2, 1649-003 Lisboa, Portugal
Comptes Rendus. Mathématique, Tome 335 (2002) no. 2, pp. 171-176.

On classifie les systèmes holonomes d'équations (micro) differentielles de multiplicité un dont le support est un espace analytique complexe Lagrangien, singulier, irréductible et contenu dans une sous-varieté lisse de codimension maximal. On montre que leur solutions sont en rapport avec des fonctions kFk−1 hypergeométriques sur la sphère de Riemann.

We classify the holonomic systems of (micro) differential equations of multiplicity one along a singular Lagrangian irreducible variety contained in an involutive submanifold of maximal codimension. We show that their solutions are related to kFk−1 hypergeometric functions on the Riemann sphere.

Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(02)02436-6
Neto, Orlando 1 ; Silva, Pedro C. 1

1 CMAF, Av. Prof. Gama Pinto 2, 1649-003 Lisboa, Portugal 
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Neto, Orlando; Silva, Pedro C. Holonomic systems with solutions ramified along a cusp. Comptes Rendus. Mathématique, Tome 335 (2002) no. 2, pp. 171-176. doi : 10.1016/S1631-073X(02)02436-6. http://www.numdam.org/articles/10.1016/S1631-073X(02)02436-6/

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