weierstrassP

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weierstrassP( z, g₂, g₃ )

The Weierstrass elliptic function ℘ of z and invariants g₂ and g₃ in Math. Defined as the inverse of the integral

$z = \int_{ \wp(z) }^\infty \frac{ dt }{ \sqrt{ 4t^3 - g_2 t - g_3 } }$

Real part on the real axis:

g₂

g₃

Imaginary part on the real axis is zero for real invariants.

Real part on the imaginary axis:

g₂

g₃

Imaginary part on the imaginary axis is zero for real invariants.

Real part on the complex plane:

g₂

g₃

Imaginary part on the complex plane:

g₂

g₃

Absolute value on the complex plane:

g₂

g₃

Function category: elliptic functions