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Essential Singularity


A singular point a for which f(z)(z-a)^n is not differentiable for any integer n>0.


See also

Picard's Great Theorem, Pole, Removable Singularity, Singularity, Weierstrass-Casorati Theorem

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References

Knopp, K. "Essential and Non-Essential Singularities or Poles." §31 in Theory of Functions Parts I and II, Two Volumes Bound as One, Part I. New York: Dover, pp. 123-126, 1996.Krantz, S. G. "Removable Singularities, Poles, and Essential Singularities." §4.1.4 in Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 42, 1999.

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Essential Singularity

Cite this as:

Weisstein, Eric W. "Essential Singularity." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/EssentialSingularity.html

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