Some integrals involving the QM function (Corresp.)

Some integrals are presented that can be expressed in terms of the Q_M 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 I_{M-1} is the modified Bessel function of order M-1 . Some integrals of the Q_M function are also evaluated.