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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Polynomial flows on $\textbf {C}^ n$
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by Brian A. Coomes PDF
Trans. Amer. Math. Soc. 320 (1990), 493-506 Request permission

Abstract:

We show that polynomial flows on ${\mathbb {R}^n}$ extend to functions holomorphic on ${\mathbb {C}^{n + 1}}$ and that the group property holds after this extension. Then we give some methods, based on power series, for determining when a vector field has a polynomial flow.
References
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 320 (1990), 493-506
  • MSC: Primary 58F25; Secondary 34A15, 34A20
  • DOI: https://doi.org/10.1090/S0002-9947-1990-0998353-7
  • MathSciNet review: 998353