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