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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A Schwarz–Pick Theorem for higher-order hyperbolic derivatives
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by Patrice Rivard PDF
Proc. Amer. Math. Soc. 139 (2011), 209-217 Request permission

Abstract:

Using the hyperbolic divided differences introduced by Baribeau, Rivard and Wegert, we generalize the notion of hyperbolic derivative and we give the analogue of a Schwarz–Pick Theorem for these derivatives.
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Additional Information
  • Patrice Rivard
  • Affiliation: Département de Mathématiques et Statistique, Université Laval, Québec, Canada G1V 0A6
  • Email: patrice.rivard.1@ulaval.ca
  • Received by editor(s): August 19, 2009
  • Received by editor(s) in revised form: February 24, 2010
  • Published electronically: July 7, 2010
  • Additional Notes: The author was supported by the NSERC Postgraduate Scholarships program
  • Communicated by: Mario Bonk
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 139 (2011), 209-217
  • MSC (2010): Primary 30F45; Secondary 30C80
  • DOI: https://doi.org/10.1090/S0002-9939-2010-10488-4
  • MathSciNet review: 2729084