Modular Angle
Given a Modulus 
in an Elliptic Integral, the modular angle isdefined by 
. An Elliptic Integral is written 
when the Parameter isused, 
when the Modulus is used, and 
when the modular angle is used.
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.
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