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.
Bessel Function Neumann Series
See also
Fourier-Bessel Series, Generalized Fourier Series, Kapteyn SeriesExplore with Wolfram|Alpha
References
Watson, G. N. A Treatise on the Theory of Bessel Functions, 2nd ed. Cambridge, England: Cambridge University Press, 1966.Referenced on Wolfram|Alpha
Bessel Function Neumann SeriesCite this as:
Weisstein, Eric W. "Bessel Function Neumann Series." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BesselFunctionNeumannSeries.html