For ,
(1)
| |||
(2)
|
where is a zeroth order Bessel function of the first kind and is a zeroth order Bessel function of the second kind.
For ,
(1)
| |||
(2)
|
where is a zeroth order Bessel function of the first kind and is a zeroth order Bessel function of the second kind.
Weisstein, Eric W. "Mehler's Bessel Function Formula." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MehlersBesselFunctionFormula.html