A Schwarz–Pick Theorem for higher-order hyperbolic derivatives
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- by Patrice Rivard
- Proc. Amer. Math. Soc. 139 (2011), 209-217
- DOI: https://doi.org/10.1090/S0002-9939-2010-10488-4
- Published electronically: July 7, 2010
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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.References
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Bibliographic 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