Jacobi amplitude function am
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jacobiAM(u,m) represents the Jacobi amplitude
function which is defined as the solution of .
The Jacobi amplitude is defined for complex arguments u and m.
Exact results are returned for m = 0, m = 1 or u = 0. In all other cases an unevaluated symbolic call is returned.
A floating-point value is computed if both arguments are numerical and at least one is a floating-point number.
When called with floating-point arguments, these functions are
sensitive to the environment variable
DIGITS which determines
the numerical working precision.
Most calls with exact arguments are returned evaluated:
If m = 0, m = 1 or u = 0, an exact result is returned:
An arithmetical expression.
An arithmetical expression specifying the parameter.