This is documentation for Mathematica 3, which was
based on an earlier version of the Wolfram Language.
 InverseEllipticNomeQ InverseEllipticNomeQ[ q ] gives the parameter m corresponding to the nome q in an elliptic function. Mathematical function (see Section A.3.10). InverseEllipticNomeQ[ q ] yields the unique value of the parameter which makes EllipticNomeQ[ m ] equal to . The nome must always satisfy . See the Mathematica book: Section 3.2.11. See also: EllipticNomeQ. Further Examples Certain elliptic functions, such as the theta functions, traditionally use the nome as their argument; others use the modulus . InverseEllipticNomeQ returns the modulus corresponding to a given nome. This function is inverse to EllipticNomeQ. In[1]:= Out[1]= The range of EllipticNomeQ is illustrated in the Further Examples for that function. InverseEllipticNomeQ can be extended outside this range. Thus extended, it is no longer a one-to-one function, and so not strictly an inverse to EllipticNomeQ. In[2]:= Out[2]= It is a good idea to use multiple precision when the argument is a real number greater than 1/2. In[3]:= Out[3]=