wiki:JacobiEllipticFunctions
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Jacobi Elliptic Functions

Introduction

There are many definitions for the Jacobi elliptic functions. We refer the reader to DLMF 22.2 for more information on definitions.

However, in our definitions, we use the parameter m instead of the modular angle alpha or the modulus k. These are related by the following expressions:

  m = k^2
  m = sin(alpha)

Sn

(jacobi-sn u m)

Jacobi sn function

Cn

(jacobi-cn u m)

Jacobi cn function

Dn

(jacobi-dn u m)

Jacobi dn function

References

Last modified 11 years ago Last modified on 03/15/11 13:45:49