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ellipticCPi

Complementary complete elliptic integral of the third kind

Use only in the MuPAD Notebook Interface.

This functionality does not run in MATLAB.

Syntax

ellipticCPi(n, m)

Description

ellipticCPi(n,m) represents the complementary complete elliptic integral of the third kind .

The complementary complete elliptic integral of the third kind is defined for complex arguments m and n.

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.

Examples

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);

Parameters

m

An arithmetical expression specifying the parameter.

n

An arithmetical expression specifying the characteristic.

Return Values

Arithmetical expression.

See Also

MuPAD Functions

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