Difference between revisions of "Fixpoint"
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A fixpoint $p$ of a function $f$ is a value such that $f(p)=p$. | A fixpoint $p$ of a function $f$ is a value such that $f(p)=p$. | ||
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| + | If $f$ is a holomorphic function, we define the multiplicity of the fixpoint $p$ to be the multiplicity of the zero of $f(z)-z$ at $p$. | ||
Revision as of 11:51, 1 May 2013
A fixpoint $p$ of a function $f$ is a value such that $f(p)=p$.
If $f$ is a holomorphic function, we define the multiplicity of the fixpoint $p$ to be the multiplicity of the zero of $f(z)-z$ at $p$.