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Journals and Conferences
We establish resurgence properties for solutions of linear ordinary differential equations with polynomial coefficients, at an irregular–singular point of rank one and derive resurgence relations when applying alien derivations to these solutions. Explicit calculations, formal and numerical, are given for several examples.
OBJECTIVE This study aimed at evaluating the performance of Cine-MRI to assess swallowing in patients previously treated for head and neck cancer. MATERIALS AND METHODS 10 healthy control subjects and a cohort of 10 patients with 8 partial glossectomies, 1 total laryngectomy and 1 glossolaryngectomy underwent imaging from October 2005 to February 2007.… (More)
We describe a general procedure for computing Stokes matrices for solutions of linear differential equations with polynomial coefficients. The algorithms developed make an automation of the calculations possible, for a wide class of equations. We apply our techniques to some classical holonomic functions and also for some new special functions that are… (More)
We present algorithms which involve both the splitting of formal series solutions to linear ordinary differential equations with polynomial coefficients into a finite sum of subseries which themselves will be solutions of linear ODEs, and the simplification of the recurrence relations satisfied by their coefficients.When coping with series that are… (More)
We exhibit an internal coproduct on the Hopf algebra of finite topologies recently defined by the second author, C. Malvenuto and F. Patras, dual to the composition of ”quasiormoulds”, which are the natural version of J. Ecalle’s moulds in this setting. All these results are displayed in the linear species formalism.
We give a natural and complete description of Ecalle’s mould–comould formalism within a Hopf–algebraic framework. The arborification transform thus appears as a factorization of characters, involving the shuffle or quasishuffle Hopf algebras, thanks to a universal property satisfied by Connes–Kreimer Hopf algebra. We give a straightforward characterization… (More)
OBJECTIVE This study aims at analyzing medical and surgical management as well as long-term follow-up of newborn (n=8) suffering from bilateral vocal cord paralysis. METHODS This retrospective study reports information regarding pregnancy and birth history, family history, initial and delayed clinical features, treatment and follow-up of these infants.… (More)