Removable singular point

From Encyclopedia of Mathematics
Revision as of 17:00, 7 February 2011 by (talk) (Importing text file)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

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 .


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


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