10/09/2009, 06:03 AM
Schröder, Ernst; "Über iterirte Funktionen" ("about iterated functions")
http://gdz.sub.uni-goettingen.de/dms/loa...DDOC=26000
This is a digitized version of the original article in
Mathematische Annalen, Band 3, 1871, lang:german
He describes his method for interpolation of functional iteration first time, introducing the concept of an auxiliary invertible function, which is specific for the function to be iterated. That auxiliary function maps the parameter x such that iteration of the original function is replaced by
x1 = map(x), x2 = x1* coefficient^<iteration-height>, y=inverse map(x2)
A couple of example-functions are provided.
http://gdz.sub.uni-goettingen.de/dms/loa...DDOC=26000
This is a digitized version of the original article in
Mathematische Annalen, Band 3, 1871, lang:german
He describes his method for interpolation of functional iteration first time, introducing the concept of an auxiliary invertible function, which is specific for the function to be iterated. That auxiliary function maps the parameter x such that iteration of the original function is replaced by
x1 = map(x), x2 = x1* coefficient^<iteration-height>, y=inverse map(x2)
A couple of example-functions are provided.
Gottfried Helms, Kassel