Elliptic Function: JD

ellip jd 1rectan gauss 001
Thirteen doubly periodic Jacoby type elliptic functions 'jd' with rectangular fundamental domain. Range: Gaussian plane.
ellip jd 1rectan thick 001
Thirteen doubly periodic Jacoby type elliptic functions 'jd' with rectangular fundamental domain. Range: Gaussian plane.
ellip jd 2rectan rieman 001
Thirteen doubly periodic Jacoby type elliptic functions 'jd' with rectangular fundamental domain. Range: Riemann sphere.
ellip jd 3rectan invers 001
Thirteen doubly periodic Jacoby type elliptic functions 'jd': Inverse images of standard polar grid. The subrectangles are all preimages of the unit circle (or equator). Of neighboring polar grids one has center zero, the other infinity.
ellip jd 4rhombic gauss 001
Thirteen doubly periodic Jacoby type elliptic functions 'jd' with rhombic fundamental domain. Range: Gaussian plane.
ellip jd 5rhombic rieman 001
Thirteen doubly periodic Jacoby type elliptic functions 'jd' with rhombic fundamental domain. Range: Riemann sphere.
ellip jd 6parall gauss 001
Thirteen doubly periodic Jacoby type elliptic functions 'jd' with parallelogram fundamental domain. Range: Gaussian plane.
ellip jd 7parall riemann 001
Thirteen doubly periodic Jacoby type elliptic functions 'jd' with parallelogram fundamental domain. Range: Riemann sphere.

z_elliptic_functions.pdf