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ellipticCK

Complementary complete elliptic integral of the first kind

Use only in the MuPAD Notebook Interface.

This functionality does not run in MATLAB.

Syntax

ellipticCK(m)

Description

ellipticCK(m) represents the complementary complete elliptic integral of the first kind K(m)=K(1m), where K(m) is the complete elliptic integral of the first kind:

K(m)=F(π2|m)=0π/211msin2θdθ

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

For floating-point values m, ellipticCK(m) returns floating-point results. For most exact arguments, it returns unevaluated symbolic calls. You can approximate such results with floating-point numbers using the float function.

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. To approximate such values with floating-point numbers, use float:

ellipticCK(PI/4);
float(ellipticCK(PI/4))

Alternatively, use a floating-point value as an argument:

ellipticCK(1/2);
ellipticCK(0.5)

ellipticCK(1) has a special value:

ellipticCK(1)

Parameters

m

An arithmetical expression specifying the parameter.

Return Values

Arithmetical expression.

See Also

MuPAD Functions

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