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arxiv: 1407.1330 · v1 · pith:76QZJRDEnew · submitted 2014-07-04 · 🧮 math.CA

On the convergence of generalized power series satisfying an algebraic ODE

classification 🧮 math.CA
keywords algebraicconvergencegeneralizedpowersatisfyingseriesconditiondifferential
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We propose a sufficient condition of the convergence of a generalized power series formally satisfying an algebraic (polynomial) ordinary differential equation. The proof is based on the majorant method.

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