Let be a Bessel Function of the First Kind, a Bessel Function of the Second Kind, and
a Modified Bessel Function of the First Kind. Also let . Then
See also Dixon-Ferrar Formula, Watson's Formula
References
Gradshteyn, I. S. and Ryzhik, I. M. Eqn. 6.664.4 in Tables of Integrals, Series, and Products, 5th ed.
San Diego, CA: Academic Press, p. 727, 1979.
Iyanaga, S. and Kawada, Y. (Eds.). Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 1476, 1980.