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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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On vector fields in the plane with the reflection property
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by S. Berhanu and J. Hounie PDF
Trans. Amer. Math. Soc. 366 (2014), 1703-1723 Request permission

Abstract:

We discuss necessary and sufficient conditions for the validity of the analogue of the Schwarz Reflection Principle for homogeneous solutions of complex vector fields in the plane.
References
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Additional Information
  • S. Berhanu
  • Affiliation: Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122-6094
  • MR Author ID: 35355
  • Email: berhanu@temple.edu
  • J. Hounie
  • Affiliation: Departamento de Matemática, University Federal de São Carlos, 13.565-905, São Carlos, SP, Brazil
  • MR Author ID: 88720
  • Email: hounie@dm.ufscar.br
  • Received by editor(s): April 26, 2011
  • Received by editor(s) in revised form: December 4, 2011
  • Published electronically: December 6, 2013
  • Additional Notes: This work was supported in part by NSF DMS 1001283, CNPq, FAPESP and CAPES
  • © Copyright 2013 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 366 (2014), 1703-1723
  • MSC (2010): Primary 35B60, 35F05; Secondary 30B40, 35H10
  • DOI: https://doi.org/10.1090/S0002-9947-2013-05771-6
  • MathSciNet review: 3152709