Abstract
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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Gontsov, R., Goryuchkina, I. The Maillet–Malgrange type theorem for generalized power series. manuscripta math. 156, 171–185 (2018). https://doi.org/10.1007/s00229-017-0957-0
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DOI: https://doi.org/10.1007/s00229-017-0957-0