Complementary complete elliptic integral of the second kind

Use only in the MuPAD Notebook Interface.

This functionality does not run in MATLAB.




ellipticCE(m) represents the complementary complete elliptic integral of the second kind .

The complementary complete elliptic integral of the second kind is defined for a complex argument m.

A floating-point value is computed if all arguments are numerical and at least one is a floating-point value. Unevaluated symbolic calls are returned for most exact arguments. For some special cases explicit symbolic representations are returned.

Environment Interactions

When called with floating-point arguments, this function is sensitive to the environment variable DIGITS which determines the numerical working precision.


Example 1

Most calls with exact arguments return themselves unevaluated:

ellipticK(1/2); ellipticF(PI/4, I);

Some special arguments return explicit symbolic representations:

ellipticF(PI/2, 1/2); ellipticF(1, 1);

If one argument is a floating-point value and the others can be converted to a floating-point values, then a floating-point result will be returned:

ellipticPi(0.5, PI/3, 1);



An arithmetical expression specifying the parameter.

Return Values

Arithmetical expression.

See Also

MuPAD Functions

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