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Half-period ratio
In mathematics, the half-period ratio τ of an elliptic function j is the ratio
of the two half-periods ω1 and ω2 of j, where j is defined in such a way that
is in the upper half-plane.
Note that the half-period ratio can be thought of as a simple number, namely, one of the parameters to elliptic functions, or it can be thought of as a function itself, because the half periods can be given in terms of the elliptic modulus or in terms of the nome.
See the pages on quarter period and elliptic integrals for additional definitions and relations on the arguments and parameters to elliptic functions.
See also
Last updated: 10-18-2005 15:29:25
03-10-2013 05:06:04
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details