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

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Flanigan, F. J. Complex Variables: Harmonic and Analytic Functions. New York: Dover, p. 234, 1983.Knopp, K. "The Monodromy Theorem." §25 in Theory of Functions Parts I and II, Two Volumes Bound as One, Part I. New York: Dover, pp. 105-111, 1996.Krantz, S. G. "The Monodromy Theorem." §10.3.5 in Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 134, 1999.

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Monodromy Theorem

Cite this as:

Weisstein, Eric W. "Monodromy Theorem." From MathWorld--A Wolfram Web Resource.

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