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Automatic computation of Stokes matrices

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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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Authors and Affiliations

  1. Mathématiques—IRMA, Université Louis Pasteur et CNRS, 7 rue Descartes, 67084, Strasbourg Cedex, France

    F. Fauvet & J. Thomann

  2. Laboratoire LJK, 51 rue des Mathématiques, 38041, Grenoble Cedex 9, France

    F. Richard-Jung

Authors
  1. F. Fauvet
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  2. F. Richard-Jung
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  3. J. Thomann
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Correspondence to F. Fauvet.

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Fauvet, F., Richard-Jung, F. & Thomann, J. Automatic computation of Stokes matrices. Numer Algor 50, 179–213 (2009). https://doi.org/10.1007/s11075-008-9223-6

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