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:
See also Amplitude, Characteristic (Elliptic Integral), Elliptic Function, Elliptic Integral, Elliptic Integral Singular Value, Modular Angle, Nome, Parameter, Theta Function
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.