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Weierstrass-Casorati Theorem

An analytic function approaches any given value arbitrarily closely in any epsilon-neighborhood of an essential singularity.

See also

Analytic Function, Essential Singularity

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References

Knopp, K. Theory of Functions Parts I and II, Two Volumes Bound as One, Part I. New York: Dover, pp. 114-115 and 124-125, 1996.Krantz, S. G. "The Casorati-Weierstrass Theorem." §4.1.6 in Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 43, 1999.

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Weierstrass-Casorati Theorem

Cite this as:

Weisstein, Eric W. "Weierstrass-Casorati Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Weierstrass-CasoratiTheorem.html

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