Automatic computation of Stokes matrices |
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| Authors: | F Fauvet F Richard-Jung J Thomann |
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| Institution: | (1) Mathématiques—IRMA, Université Louis Pasteur et CNRS, 7 rue Descartes, 67084 Strasbourg Cedex, France;(2) Laboratoire LJK, 51 rue des Mathématiques, 38041 Grenoble Cedex 9, France |
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| Abstract: | 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 interesting in
their own right: Ecalle’s accelerating functions.
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| Keywords: | Stokes matrices Resurgent functions Ordinary differential equations Asymptotics Summability Computer algebra |
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