elliptic_Z

Evaluate the Jacobi zeta function.

Evaluation of the Carlson elliptic integrals and the
incomplete elliptic integrals with complex arguments. The
implementations use Carlson's algorithms <doi:10.1007/BF02198293>.
Applications of elliptic integrals include probability distributions,
geometry, physics, mechanics, electrodynamics, statistical mechanics,
astronomy, geodesy, geodesics on conics, and magnetic field
calculations.

Stc3<a9>phane Laurent

Carlson

Carlson Elliptic Integrals and Incomplete Elliptic Integrals

elliptic_Z function

<dl><dt>phi</dt>
<dd>amplitude, real or complex number/vector</dd>
<dt>m</dt>
<dd>parameter, real or complex number/vector</dd>
<dt>minerror</dt>
<dd>bound on relative error passed to <code>elliptic_E</code>
and <code>elliptic_F</code></dd></dl>

Arguments

Jacobi zeta function — elliptic_Z

<dl>

<dt>phi</dt>
<dd>amplitude, real or complex number/vector</dd>


<dt>m</dt>
<dd>parameter, real or complex number/vector</dd>


<dt>minerror</dt>
<dd>bound on relative error passed to <code>elliptic_E</code>
and <code>elliptic_F</code></dd>

</dl>

elliptic_Z: Jacobi zeta function

Description

Usage

Value

Arguments