WeierstrassSigma

WeierstrassSigma[u,{g2,g3}]

gives the Weierstrass sigma function .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • Related to WeierstrassZeta by the differential equation .
  • WeierstrassSigma is not periodic and is therefore not strictly an elliptic function.
  • For certain special arguments, WeierstrassSigma automatically evaluates to exact values.
  • WeierstrassSigma can be evaluated to arbitrary numerical precision.

Examples

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Basic Examples  (3)

Evaluate numerically:

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Plot the function:

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Series expansion:

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Scope  (6)

Applications  (2)

Properties & Relations  (1)

Neat Examples  (1)

See Also

WeierstrassZeta  WeierstrassP

Tutorials

Introduced in 1996
(3.0)