Some integrals are presented that can be expressed in terms of the

function, which is defined as begin{equation} Q_M(a,b) = int_b^{infty} dx x(x/a)^{M-1} exp (- frac{x^2 + a^2}{2}) I_{M-1}(ax), end{equation} where

is the modified Bessel function of order

. Some integrals of the

function are also evaluated.