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

Lauricella hypergeometric function (LHF) F
_A
is often used in the performance analysis of wireless communications, especially diversity systems. In this letter, F
_A
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 F
_A
are obtained. In addition, a novel and efficient approximation to F
_A
is presented.