Category:Definitions/Bei Function

This category contains definitions related to Bei Function.
Related results can be found in Category:Bei Function.

Let $J_n$ denote the Bessel function of the first kind.

The Bei function is defined as:

$\map {\Bei_n} x = \map \Im {\map {J_n} {x \map \exp {\dfrac {3 \pi i} 4} } }$

where:

$\exp$ denotes the exponential function

$x$ is real

$\map \Im z$ denotes the imaginary part of $z$.