Riemann Removable Singularity Theorem

Let $f:D(z_0,r)\{z_0}->C$ be analytic and bounded on a punctured open disk , then exists, and the function defined by

$f^~(z)={f(z) for z!=z_0; lim_(z^'->z_0)f(z^') for z=z_0$

(1)

See also

Removable Singularity

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References

Krantz, S. G. "The Riemann Removable Singularity Theorem." §4.1.5 in Handbook of Complex Variables. Boston, MA: Birkhäuser, pp. 42-43, 1999.

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Riemann Removable Singularity Theorem

Cite this as:

Weisstein, Eric W. "Riemann Removable Singularity Theorem." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/RiemannRemovableSingularityTheorem.html

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