# Removable singular point

From Encyclopedia of Mathematics

*of a single-valued analytic function of a complex variable *

A term to denote a point which has a punctured neighbourhood in which the function is analytic and bounded.

Under these conditions the finite limit

exists. This assigns a value to at , resulting in an analytic function in a full neighbourhood of .

#### Comments

Cf. also, e.g., Singular point; Essential singular point; Removable set.

#### References

[a1] | A.I. Markushevich, "Theory of functions of a complex variable" , 1 , Chelsea (1977) (Translated from Russian) |

**How to Cite This Entry:**

Removable singular point.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Removable_singular_point&oldid=12605

This article was adapted from an original article by E.D. Solomentsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article