WeierstrassEta1

WeierstrassEta1[{g2,g3}]

gives the value η1 of the Weierstrass zeta function ζ at the half-period TemplateBox[{{g, _, 2}, {g, _, 3}}, WeierstrassHalfPeriodW1].

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • WeierstrassEta1 can be evaluated to arbitrary numerical precision.

Examples

open all close all

Basic Examples  (3)

Represent the value of WeierstrassZeta at the half-period ω1:

In[1]:=
Click for copyable input
Out[1]=

Evaluate numerically:

In[1]:=
Click for copyable input
Out[1]=
In[2]:=
Click for copyable input
Out[2]=

Plot the real and imaginary parts of η1:

In[1]:=
Click for copyable input
Out[1]=

Scope  (4)

Properties & Relations  (2)

Introduced in 2017
(11.2)