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Monodromy Theorem

If a Complex function $f$ is Analytic in a Disk contained in a simply connected Domain $D$ and $f$ can be Analytically Continued along every polygonal arc in $D$, then $f$ can be Analytically Continued to a single-valued Analytic Function on all of $D$!

See also Analytic Continuation




© 1996-9 Eric W. Weisstein
1999-05-26