Schröder equation

From Hyperoperations Wiki

Revision as of 13:02, 7 June 2011 by Bo198214 (talk | contribs) (add Abel)

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Jump to navigation Jump to search

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: $$\log_c(\sigma(x))=1+\log_c(\sigma(x))$$

Retrieved from "https://tetrationforum.org/hyperops_wiki/index.php?title=Schröder_equation&oldid=115"