Connections Between the Generalized Marcum $Q$ -Function and a Class of Hypergeometric Functions

This paper presents a new connection between the generalized Marcum-Q function and the confluent hypergeometric function of two variables, Φ
₃
. This result is then applied to the closed-form characterization of the bivariate Nakagami-m distribution and of the distribution of the minimum eigenvalue of correlated noncentral Wishart matrices, both important in communication theory. New expressions for the corresponding cumulative distributions are obtained and a number of communication-theoretic problems involving them are pointed out.