Documentation

This is machine translation

Translated by Microsoft
Mouseover text to see original. Click the button below to return to the English verison of the page.

Note: This page has been translated by MathWorks. Please click here
To view all translated materals including this page, select Japan from the country navigator on the bottom of this page.

jacobiNS

Jacobi elliptic function ns

MuPAD® notebooks are not recommended. 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

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:

jacobiNS(2,1/2)

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

jacobiNS(1.5,1/2)

Floating-point evaluation can be enforced by using float:

float(jacobiNS(1,-1))

Example 2

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

jacobiNS(u,0)

jacobiNS(u,1)

Parameters

m

An arithmetical expression specifying the parameter.

Return Values

Arithmetical expression.

Was this topic helpful?