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# WeierstrassPPrime

 WeierstrassPPrimegives the derivative of the Weierstrass elliptic function .
• Mathematical function, suitable for both symbolic and numerical manipulation.
• .
• For certain special arguments, WeierstrassPPrime automatically evaluates to exact values.
Evaluate numerically:
Series expansion:
Evaluate numerically:
 Out[1]=

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Series expansion:
 Out[1]=
 Scope   (6)
Evaluate for complex arguments and invariants:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
WeierstrassPPrime threads element-wise over lists in its first argument:
WeierstrassPPrime automatically evaluates to simpler functions for certain parameters:
 Applications   (3)
Conformal map from a triangle to the upper half-plane:
Map a triangle:
Uniformization of a generic elliptic curve :
The parametrized uniformization:
Check the correctness of the uniformization:
Define Dixon trigonometric functions:
These functions are cubic generalizations of Cos and Sin:
Plot the Dixon trigonometric functions:
Series expansions of these functions:
Integrate expressions involving WeierstrassPPrime:
Machine-precision input is insufficient to give a correct answer:
Use arbitrary-precision arithmetic to obtain a correct result:
Weierstrass functions are doubly periodic over the complex plane: