Schröder equation
Revision as of 15:07, 15 December 2012 by Kouznetsov (talk | contribs)
For a given function $f$ and constant $c$ find a function $\sigma$ such that $$\sigma(f(x))=c \sigma(x).$$
The Schröder equation can be transformed into the form of an Abel equation: $$\log_c\!\Big(\sigma\big(f(x)\big)\Big)=1+\log_c(\sigma(x))$$