  In this paper, we derive exact closed-form expressions for the bivariate
Nakagami-$m$ cumulative distribution function (CDF) with positive integer
fading severity index $m$ in terms of a class of hypergeometric functions.
Particularly, we show that the bivariate Nakagami-$m$ CDF can be expressed as a
finite sum of elementary functions and bivariate confluent hypergeometric
$\Phi_3$ functions. Direct applications which arise from the proposed
closed-form expression are the outage probability (OP) analysis of a
dual-branch selection combiner in correlated Nakagami-$m$ fading, or the
calculation of the level crossing rate (LCR) and average fade duration (AFD) of
a sampled Nakagami-$m$ fading envelope.
