In the following equations is any one of the four ordered pairs
given in (10.63.1), and is either the
same ordered pair or any other ordered pair in (10.63.1).
where and are the modulus
functions introduced in §10.68(i).
See Kerr (1978) and Glasser (1979).
For infinite double integrals involving Kelvin functions see
Prudnikov et al. (1986b, pp. 630–631).
For direct and inverse Laplace transforms of Kelvin functions see
Prudnikov et al. (1992a, §3.19) and
Prudnikov et al. (1992b, §3.19).