Quantcast

Documentation Center

  • Trial Software
  • Product Updates

jacobiNS

Jacobi elliptic function ns

Use only in the MuPAD Notebook Interface.

This functionality does not run in MATLAB.

Syntax

jacobiNS(u,m)

Description

jacobiNS(u,m) represents the Jacobi elliptic function ns.

Let . Then the Jacobi elliptic function ns is defined as follows:

The Jacobi functions are defined for complex values of u and m.

The Jacobi functions are meromorphic and doubly periodic with periods and with respect to u.

For m = 0 and m = 1, the Jacobi functions reduce to trigonometric or constant functions.

If one argument is a floating-point number, and the other one can be converted to a floating-point number, then a floating-point number is returned.

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

For most arguments, the Jacobi functions return themselves unevaluated:

jacobiSN(2,1/2)

Floating-point numbers are returned if at least one of the arguments is a floating-point number:

jacobiCN(1.5,1/2)

Floating-point evaluation can be enforced by using float:

float(jacobiND(1,-1))

Example 2

For m = 0 and m = 1, the result is expressed using a trigonometric function:

jacobiSC(u,0)

jacobiND(u,1)

Parameters

m

An arithmetical expression specifying the parameter.

Return Values

Arithmetical expression.

See Also

MuPAD Functions

Was this topic helpful?