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The Maillet--Malgrange type theorem for generalized power series

Research paper by Renat Gontsov, Irina Goryuchkina

Indexed on: 21 Jan '16Published on: 21 Jan '16Published in: Mathematics - Classical Analysis and ODEs



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.