Definition:Ker Function

Definition

Let $K_n$ denote the modified Bessel function of the second kind.

The Ker function is defined as:

$\map {\Ker_n} x = \map \Re {\map {K_n} {x \map \exp {\dfrac {\pi i} 4} } }$

where:

$\exp$ denotes the exponential function

$x$ is real

$\map \Re z$ denotes the real part of $z$.

Also known as

The Ker kunction, along with:

its imaginary counterpart the Kei function

the Ber function and Bei function

are known collectively as the Kelvin functions, for Lord Kelvin.

Some sources report and denote the Ker function uncapitalised: ker function.

Also see

• Definition:Kei Function

• Definition:Ber Function
• Definition:Bei Function

• Results about the Ker function can be found here.

Sources

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