As conuterexample let's consider . For all is ...
... but the singularity of in is not 'removable'...
Kind regards
Hello. I am looking at the following problem:
Let be holomorphic in so that
Prove that is a removable singularity.
I'd like to use the Gauss Mean Value Property, where
Then I could try to put a bound on and conclude that the singularity is removable. However, the Gauss Mean Value property only works if the function is holomorphic on a simply connected domain.
I was wondering if there are any suggestions on how to approach this problem. Any ideas would be much appreciated.
Perhaps you meant:
In that case, the coefficient of the Laurent expansion satisfies:
So, would be a removable singularity.
Fernando Revilla