A series of the form
(1)
|
where
is a real and
is a Bessel
function of the first kind. Special cases are
(2)
|
where
is the gamma function, and
(3)
|
where
(4)
|
and
is the floor function.
A series of the form
(1)
|
where
is a real and
is a Bessel
function of the first kind. Special cases are
(2)
|
where
is the gamma function, and
(3)
|
where
(4)
|
and
is the floor function.
Weisstein, Eric W. "Bessel Function Neumann Series." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BesselFunctionNeumannSeries.html