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ellipticFunctions
package provides a
library for elliptic functions.
See:
Description
Class Summary  

Elliptic  Class provides Jacobi's elliptic theta functions. 
Jacobi  Implementation for Jacobi's elliptic functions. 
The ellipticFunctions
package provides a
library for elliptic functions.
Some of the most famous mathematicions of the 18^{th}century, like Abel, Gauss, Jacobi, or Weierstrass, contributed to this subject and opend a complete new field in mathematics.
We compute all elliptic functions in terms of Jacobi's theta functions,
which are implemented as static functions in ellipticFunctions.Elliptic
.
ellipticFunctions.Jacobi
is devoted to the Jacobi's elliptic functions:
sn
, cn
, and dn
. It also includes utillity
functions to compute back and forth between the different descriptions of the
modulus.
An implementation for the different elliptic functions of Weierstrass, will be added soon.
All the functions have a convient and an numerical efficient frontend.
Compare for example #Jacobi.sn(Complex,Complex)
and
#Jacobi.sn(Complex,Complex,Complex[],Complex)
.


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