WeierstrassE3

WeierstrassE3[{g2,g3}]

gives the value e3 of the Weierstrass elliptic function at the half-period TemplateBox[{{g, _, 2}, {g, _, 3}}, WeierstrassHalfPeriodW3].

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • WeierstrassE3 can be evaluated to arbitrary numerical precision.

Examples

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Basic Examples  (3)

WeierstrassE3 represents the value of WeierstrassP at its third half-period ω3:

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Evaluate numerically:

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Plot the real and imaginary parts of the e3:

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Scope  (3)

Applications  (1)

Properties & Relations  (3)

See Also

WeierstrassHalfPeriodW3  WeierstrassP  WeierstrassE1  WeierstrassE2

Introduced in 2017
(11.2)