Some integrals involving the function (Corresp.)

Authors:
A. Nuttall
Affiliations:
-
Venue:
IEEE Transactions on Information Theory
Year:
2006

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Abstract

Some integrals are presented that can be expressed in terms of theQ_Mfunction, 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} whereI_{M-1}is the modified Bessel function of orderM-1. Some integrals of theQ_Mfunction are also evaluated.