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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A Schwarz-Pick Theorem for higher-order hyperbolic derivatives


Author: Patrice Rivard
Journal: Proc. Amer. Math. Soc. 139 (2011), 209-217
MSC (2010): Primary 30F45; Secondary 30C80
Published electronically: July 7, 2010
MathSciNet review: 2729084
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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.


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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

DOI: http://dx.doi.org/10.1090/S0002-9939-2010-10488-4
PII: S 0002-9939(2010)10488-4
Keywords: Schwarz–Pick Theorem, hyperbolic derivative, hyperbolic divided differences
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
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.