As a holomorphic function approaches an essential singularity, it takes on every possible value (except at most one) infinitely often. An astonishing result.
https://en.wikipedia.org/wiki/Picard_theorem
And the nice thing is you can prove this with fairly elementary techniques (e.g. first year complex analysis is all you need).
As a holomorphic function approaches an essential singularity, it takes on every possible value (except at most one) infinitely often. An astonishing result.
https://en.wikipedia.org/wiki/Picard_theorem
And the nice thing is you can prove this with fairly elementary techniques (e.g. first year complex analysis is all you need).