theta.s

theta.c

theta.n

theta.d

Evaluation of the Neville theta functions.

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

theta.s function

<dl><dt>z</dt>
<dd>a complex number, vector, or matrix</dd>
<dt>tau</dt>
<dd>complex number with strictly positive imaginary part; it is 
related to <code>m</code> and only one of them must be supplied</dd>
<dt>m</dt>
<dd>the "parameter", square of the elliptic modulus; it is related to 
<code>tau</code> and only one of them must be supplied</dd></dl>

Arguments

Neville theta functions — theta.s

<dl>

<dt>z</dt>
<dd>a complex number, vector, or matrix</dd>


<dt>tau</dt>
<dd>complex number with strictly positive imaginary part; it is 
related to <code>m</code> and only one of them must be supplied</dd>


<dt>m</dt>
<dd>the "parameter", square of the elliptic modulus; it is related to 
<code>tau</code> and only one of them must be supplied</dd>

</dl>

theta.s: Neville theta functions

Description

Usage

Value

Arguments