gives the value η3 of the Weierstrass zeta function ζ at the half-period TemplateBox[{{g, _, 2}, {g, _, 3}}, WeierstrassHalfPeriodW3].


  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • WeierstrassEta3 can be evaluated to arbitrary numerical precision.


open allclose all

Basic Examples  (3)

Represent the value of WeierstrassZeta at the half-period ω3:

Evaluate numerically:

Plot the real and imaginary parts of η3:

Scope  (4)

Evaluate for complex arguments:

Evaluate to arbitrary numerical precision:

Precision of the output tracks the precision of the input:

TraditionalForm formatting:

Introduced in 2017