Elliptic Function: JD

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ellip jd 1rectan gauss 001
Thirteen doubly periodic Jacoby type elliptic functions 'jd' with rectangular fundamental domain. Range: Gaussian plane.
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ellip jd 1rectan thick 001
Thirteen doubly periodic Jacoby type elliptic functions 'jd' with rectangular fundamental domain. Range: Gaussian plane.
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ellip jd 2rectan rieman 001
Thirteen doubly periodic Jacoby type elliptic functions 'jd' with rectangular fundamental domain. Range: Riemann sphere.
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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.
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ellip jd 4rhombic gauss 001
Thirteen doubly periodic Jacoby type elliptic functions 'jd' with rhombic fundamental domain. Range: Gaussian plane.
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ellip jd 5rhombic rieman 001
Thirteen doubly periodic Jacoby type elliptic functions 'jd' with rhombic fundamental domain. Range: Riemann sphere.
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ellip jd 6parall gauss 001
Thirteen doubly periodic Jacoby type elliptic functions 'jd' with parallelogram fundamental domain. Range: Gaussian plane.
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ellip jd 7parall riemann 001
Thirteen doubly periodic Jacoby type elliptic functions 'jd' with parallelogram fundamental domain. Range: Riemann sphere.

z_elliptic_functions.pdf