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arxiv: 1601.05778 · v1 · pith:NKWR7KHJnew · submitted 2016-01-21 · 🧮 math.CA

The Maillet--Malgrange type theorem for generalized power series

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keywords powerseriestheoremgeneralizedmaillet--malgrangetypealgebraiccoefficients
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There is proposed the Maillet--Malgrange type theorem for a generalized power series (having complex power exponents) formally satisfying an algebraic ordinary differential equation. The theorem describes the growth of the series coefficients.

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