A parameter used in Elliptic Integrals and Elliptic Functions
defined to be
, where is the Parameter. An Elliptic Integral is written when
the modulus is used. It can be computed explicitly in terms of Theta Functions of zero argument:

(1) |

(2) |

(3) |

(4) |

**References**

Abramowitz, M. and Stegun, C. A. (Eds.).
*Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.*
New York: Dover, p. 590, 1972.

© 1996-9

1999-05-26