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, Volume 156, Issue 1–2, pp 171–185 | Cite as

The Maillet–Malgrange type theorem for generalized power series

  • Renat GontsovEmail author
  • Irina Goryuchkina


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.

Mathematics Subject Classification

34A25 34M25 34M30 


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Copyright information

© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Institute for Information Transmission Problems of RASMoscowRussia
  2. 2.Keldysh Institite of Applied Mathematics of RASMoscowRussia

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