Vipul: New page: {{basic fact}} ==Statement== The '''removable singularities theorem''', sometimes termed the '''Riemann removable singularities theorem''', states that if $U$ is a neighborhoo...

2008-09-12T21:19:54Z

New page: {{basic fact}} ==Statement== The '''removable singularities theorem''', sometimes termed the '''Riemann removable singularities theorem''', states that if <math>U</math> is a neighborhoo...

New page

{{basic fact}}

==Statement==

The '''removable singularities theorem''', sometimes termed the '''Riemann removable singularities theorem''', states that if <math>U</math> is a neighborhood of a point <math>z_0</math>, and <math>f:U \setminus \{ z_0 \} \to \mathbb{C}</math> is a [[holomorphic function]] with <math>\lim_{z \to z_0} f(z)</math> existing, then <math>f</math> extends to a holomorphic function on <math>U</math>, by setting <math>f(z_0) = \lim_{z \to z_0} f(z)</math>.

Removable singularities theorem - Revision history

Vipul: New page: {{basic fact}} ==Statement== The '''removable singularities theorem''', sometimes termed the '''Riemann removable singularities theorem''', states that if U is a neighborhoo...

Vipul: New page: {{basic fact}} ==Statement== The '''removable singularities theorem''', sometimes termed the '''Riemann removable singularities theorem''', states that if $U$ is a neighborhoo...