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WeierstrassZeta

WeierstrassZeta
gives the Weierstrass zeta function .
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • WeierstrassZeta is not periodic and is therefore not strictly an elliptic function.
  • For certain special arguments, WeierstrassZeta automatically evaluates to exact values.
Evaluate numerically:
Series expansion:
Evaluate numerically:
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Series expansion:
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Click for copyable input
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Evaluate for complex arguments and invariants:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
WeierstrassZeta threads element-wise over lists in its first argument:
WeierstrassZeta automatically evaluates to simpler functions for certain parameters:
TraditionalForm formatting:
The 2D equations of motion of two point-like vertices having closed trajectories:
Solve the equations numerically:
Plot the vortex trajectories:
Derivatives of WeierstrassZeta:
Antiderivative:
Machine-precision input is insufficient to give a correct result:
Use arbitrary-precision arithmetic to obtain a correct result:
Plot the quasi-doubly periodic WeierstrassZeta over the complex plane:
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