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.
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Acknowledgements
This research was supported by NSERC (Canada) through the Discovery Grants program.
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Baribeau, L. (2013). Hyperbolic Derivatives Determine a Function Uniquely. In: Mashreghi, J., Fricain, E. (eds) Blaschke Products and Their Applications. Fields Institute Communications, vol 65. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-5341-3_10
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DOI: https://doi.org/10.1007/978-1-4614-5341-3_10
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