This gives S \ setminus \ Sigma the structure of a Riemann surface, which extends to the entire surface S by Riemann's theorem on removable singularities.
6.
A few authors allow the order of a pole to be zero, in which case a pole of order zero is either a regular point or a removable singularity.
7.
A holomorphic function's singularity is either not really a singularity at all, i . e . a removable singularity, or one of the following two types:
8.
The standard recommends several usage scenarios for this, including the implementation of non-default pre-substitution of a value followed by resumption, to concisely handle removable singularities.
9.
*PM : proof of Riemann's removable singularity theorem, id = 4153-- WP guess : proof of Riemann's removable singularity theorem-- Status:
10.
*PM : proof of Riemann's removable singularity theorem, id = 4153-- WP guess : proof of Riemann's removable singularity theorem-- Status:
