Jinc Function


The jinc function is defined as
|
(1)
|
where
is a Bessel
function of the first kind, and satisfies
.
The derivative of the jinc function is given by
|
(2)
|
The function is sometimes normalized by multiplying by a factor of 2 so that
(Siegman 1986, p. 729).
The first real inflection point of the function occurs when
|
(3)
|
namely 2.29991033... (OEIS A133920).
The unique real fixed point occurs at 0.48541702373... (OEIS A133921).
Bessel functions