When and satisfy a Modular Equation, a relationship of the form
|
(1) |
exists, and is called the multiplier. The multiplier of degree can be given by
|
(2) |
where is a Theta Function and is a complete Elliptic Integral of the First Kind.
The first few multipliers in terms of and are
In terms of the and defined for Modular Equations,
© 1996-9 Eric W. Weisstein
1999-05-26