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The evaluation of integral transforms of special functions is required indifferent research and practical areas. Analyzing the $\kappa$-$\mu$ fadingdistribution also khown as the generalized Rician distribution, we find outthat the assessment of a few different performance metrics, such as theprobability of energy detection of unknown signals and outage probability underco-channel interference, involves the evaluation of an infinite-range integral,which has the form of Laplace transform of product of Marcum Q, Bessel I, andpower functions. We evaluate this integral in a closed-form and presentnumerical estimates.

Laplace Transform of Product of Generalized Marcum Q, Bessel I, and Power Functions with Applications