jacobiAM

Jacobi amplitude function am

MuPAD® notebooks will be removed in a future release. Use MATLAB® live scripts instead.

MATLAB live scripts support most MuPAD functionality, though there are some differences. For more information, see Convert MuPAD Notebooks to MATLAB Live Scripts.

Syntax

jacobiAM(u,m)

Description

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.

Environment Interactions

When called with floating-point arguments, these functions are sensitive to the environment variable DIGITS which determines the numerical working precision.

Examples

Example 1

Most calls with exact arguments are returned evaluated:

jacobiAM(PI/3, 1/2)

If m = 0, m = 1 or u = 0, an exact result is returned:

jacobiAM(PI/2, 0)

jacobiAM(2, 1)

jacobiAM(0, 1/2)

Parameters

u

An arithmetical expression.

m

An arithmetical expression specifying the parameter.

Return Values

Arithmetical expression.

See Also

MuPAD Functions