Difference between revisions of "Fatou coordinates"

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-Fatou coordinates - a term predominantly used in [[holomorphic dynamics]] - usually refers to one of the $2m$ [[principal Abel functions]] of a holomorphic function $f$ with [[parabolic fixpoint]] (which we assume for simplicity to be located at 0):
+#REDIRECT [[Fatou coordinate]]
-$$f(z)=z+c_{m+1}z^{m+1} + c_{m+2}z^{m+2} + \dots $$
-== Literature ==
-* Milnor, J. (2006). Dynamics in one complex variable. 3rd ed. Princeton Annals in Mathematics 160. Princeton, NJ: Princeton University Press. viii, 304 p.