https://tetrationforum.org/hyperops_wiki/index.php?action=history&feed=atom&title=B%C3%B6ttcher_equation 2026-05-13T16:04:31Z Revision history for this page on the wiki MediaWiki 1.35.8 https://tetrationforum.org/hyperops_wiki/index.php?title=B%C3%B6ttcher_equation&diff=104&oldid=prev 2011-06-07T11:44:52Z

<p>initial draft</p> <p><b>New page</b></p><div>For a given function $f$ find $\beta$ such that:<br /> $$\beta(f(x))=\beta(x)^p$$<br /> <br /> This equation can be transformed into the form of the [[Schröder equation]]<br /> $$\log(\beta(f(x)))=p\log(\beta(x))$$<br /> <br /> Which in the end can be transformed into the form of the [[Abel equation]]<br /> $$\log_p(\log(\beta(f(x))) = 1 + \log_p(\log(\beta(x))$$</div>

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