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 and require . Then
See also Dixon-Ferrar Formula, Nicholson's Formula
References
Gradshteyn, I. S. and Ryzhik, I. M. Eqns. 6.617.1 and 6.617.2 in Tables of Integrals, Series, and Products, 5th ed.
San Diego, CA: Academic Press, p. 710, 1979.
Ito, K. (Ed.). Encyclopedic Dictionary of Mathematics, 2nd ed. Cambridge, MA: MIT Press, p. 1806, 1987.
Iyanaga, S. and Kawada, Y. (Eds.). Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 1476, 1980.