JacobiZeta

JacobiZeta[ϕ,m]

gives the Jacobi zeta function .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The Jacobi zeta function is given in terms of elliptic integrals by .
  • Argument conventions for elliptic integrals are discussed in "Elliptic Integrals and Elliptic Functions".
  • For certain special arguments, JacobiZeta automatically evaluates to exact values.
  • JacobiZeta can be evaluated to arbitrary numerical precision.
  • JacobiZeta automatically threads over lists.

Examples

open allclose all

Basic Examples  (2)

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

Scope  (9)

Generalizations & Extensions  (2)

Applications  (3)

Properties & Relations  (3)

Possible Issues  (4)

See Also

EllipticE  EllipticF  EllipticK

Tutorials

Introduced in 1991
(2.0)