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1 - Fundamental Functional Equations

Published online by Cambridge University Press:  21 April 2021

Tom Leinster
Tom Leinster
Affiliation:
University of Edinburgh
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Summary

We solve Cauchy’s functional equation and its discrete analogue (logarithmic sequences). We define the q-logarithms and show that they are characterized by a functional equation.

Keywords

functional equationCauchy’s functional equationq-logarithm
Type
Chapter
Information
Entropy and Diversity
The Axiomatic Approach
 , pp. 15 - 31
Publisher: Cambridge University Press
Print publication year: 2021

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