The Reciprocal of the Arithmetic-Geometric Mean of 1 and ,

(1) | |||

(2) | |||

(3) | |||

(4) |

where is the complete Elliptic Integral of the First Kind and is the Gamma Function.

**References**

Finch, S. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/gauss/gauss.html

© 1996-9

1999-05-25