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- W2952617516 abstract "This paper is a continuation of our previous work cite{St} where we have studied the Stokes phenomenon for a particular family of equation eqref{initial} with eqref{form-0}-eqref{npe} from a perturbative point of view. Here we focus on the explicit computation of the Stokes matrices at the non-resonant irregular singularity for a more general situation. In particular, utilizing Borel-Laplace summation, the iterated integrals approach and some properties of the hypergeometric series we compute by hand the Stokes matrices of three families of equation eqref{initial}-eqref{form-0}-eqref{npe} under assumptions that $beta_j$'s are distinct and $|beta_3-beta_1| -1$. In addition, iterated integrals approach allows us to give, under some restrictions, an explicit representation of the 1-sum of the product of two certain divergent 1-summable power series, that have different singular directions." @default.
- W2952617516 created "2019-06-27" @default.
- W2952617516 creator A5069920519 @default.
- W2952617516 date "2019-06-24" @default.
- W2952617516 modified "2023-09-25" @default.
- W2952617516 title "Stokes matrices for a class of reducible equations" @default.
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