Removable singular point
From Encyclopedia of Mathematics
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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
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