Elliptic Function: JE
JE on a Rectangular Torus
eliptic Riem rectangula 001
Inverse image of a conformal polar grid on the Riemann sphere under the doubly periodic Jacoby type elliptic function je for a family of rectangular tori. These tori are represented by rectangular fundamental domains for the period translations of je. The je-image of the upper half covers the whole sphere (same for the lower half). The polar centers above each other are preimages of zero (in the middle) and preimages of infinity (at the boundary).
JE on a Rhombic Torus
JE on a Parallelogram Torus
ellipticJE gauss cart 001
celliptic riem parallel 001
z_elliptic_functions.pdf
Conformal Maps