Evaluation of the amplitude function.

Evaluation of the Jacobi theta functions and related
functions: Weierstrass elliptic function, Weierstrass sigma function,
Weierstrass zeta function, Klein j-function, Dedekind eta function,
lambda modular function, Jacobi elliptic functions, Neville theta
functions, Eisenstein series, lemniscate elliptic functions, elliptic
alpha function, Rogers-Ramanujan continued fractions, and Dixon
elliptic functions. Complex values of the variable are supported.

Stc3<a9>phane Laurent

jacobi

Jacobi Theta Functions and Related Functions

Stéphane Laurent

Mikael Fremling

am function

<dl><dt>u</dt>
<dd>complex number</dd>
<dt>m</dt>
<dd>square of elliptic modulus, a complex number</dd></dl>

Arguments

Amplitude function — am

<dl>

<dt>u</dt>
<dd>complex number</dd>


<dt>m</dt>
<dd>square of elliptic modulus, a complex number</dd>

</dl>

am: Amplitude function

Description

Usage

Value

Arguments

Examples