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Hyperbolic Derivatives Determine a Function Uniquely

  • Line BaribeauEmail author
Chapter
  • 867 Downloads
Part of the Fields Institute Communications book series (FIC, volume 65)

Abstract

The notion of hyperbolic derivative for functions from the unit disc to itself is well known. Recently, Rivard has proposed a definition for higher-order derivatives. We prove that the sequence of hyperbolic derivatives of order n (n=0,1,2,…) of a function f determines this function uniquely.

Keywords

Hyperbolic derivative Divided differences 

Mathematics Subject Classification

30E05 30F45 30C80 30B70 

Notes

Acknowledgements

This research was supported by NSERC (Canada) through the Discovery Grants program.

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Département de mathématiques et de statistiqueUniversité LavalQuébecCanada

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