The Maillet--Malgrange type theorem for generalized power series
Classical Analysis and ODEs
2018-04-30 v1
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.
Cite
@article{arxiv.1601.05778,
title = {The Maillet--Malgrange type theorem for generalized power series},
author = {Renat Gontsov and Irina Goryuchkina},
journal= {arXiv preprint arXiv:1601.05778},
year = {2018}
}
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9 pages