Abstract
We consider linear ordinary differential equations, each of the coefficients of which is either an algorithmically represented power series, or a truncated power series. We discuss the question of what can be learned from equations given in this way about its Laurent solutions, i.e., solutions belonging to the field of formal Laurent series. We are interested in the information about these solutions, that is invariant with respect to possible prolongations of the truncated series which are the coefficients of the given equation.
Supported in part by RFBR grant, project No. 19-01-00032.
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The authors are grateful to anonymous referees for their helpful comments.
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Abramov, S.A., Khmelnov, D.E., Ryabenko, A.A. (2020). Truncated and Infinite Power Series in the Role of Coefficients of Linear Ordinary Differential Equations. In: Boulier, F., England, M., Sadykov, T.M., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2020. Lecture Notes in Computer Science(), vol 12291. Springer, Cham. https://doi.org/10.1007/978-3-030-60026-6_4
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DOI: https://doi.org/10.1007/978-3-030-60026-6_4
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