[hal-00692093] First level's connection-to-Stokes formulae for meromorphic linear differential systems

Given a multi-leveled meromorphic linear differential system we deduce from the factorization theorem explicit formulae allowing to express all the first level's Stokes multipliers in terms of connection constants in the Borel plane generalizing thus the formulae displayed by M Loday-Richaud and the author in the case of single-leveled systems As an illustration we develop three examples No assumption of genericity is made



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