Some Applications of Lauricella Hypergeometric Function F_A in Performance Analysis of Wireless Communications

Lauricella hypergeometric function (LHF) FA is often used in the performance analysis of wireless communications, especially diversity systems. In this letter, FA is applied to solve two challenging problems: (1) a product of error functions averaged over generic fading channels and (2) error probability of BPSK modulation with equal-gain combining (EGC) in independent Nakagami-m fading channels. Closed-form expressions in terms of FA are obtained. In addition, a novel and efficient approximation to FA is presented.

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