A removable singularity is a singular point of a function for which it is possible to assign a complex number in such a way that becomes analytic. A more precise way of defining a removable singularity is as a singularity of a function about which the function is bounded. For example, the point is a removable singularity in the sinc function , since this function satisfies .

# Removable Singularity

## See also

Essential Singularity, Pole, Removable Discontinuity, Riemann Removable Singularity Theorem, Singular Point## Explore with Wolfram|Alpha

## References

Krantz, S. G. "Removable Singularities, Poles, and Essential Singularities." §4.1.4 in*Handbook of Complex Variables.*Boston, MA: Birkhäuser, p. 42, 1999.

## Referenced on Wolfram|Alpha

Removable Singularity## Cite this as:

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