A quick look at the elliptic exp and elliptic log

Here is a quick look at the two components of the elliptic exponent and its derivative. All of the following graphics use the parameters . The double periodicity of the function and the poles of order 2 to 4 are clearly visible.

The last pair of graphics shows the elliptic logarithm over the complex ‐plane. Compared with the direct function, it is relatively structureless.