This paper presents a new connection between the generalized Marcum-Q function and the confluent hypergeometric function of two variables, Φ3. 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.
Morales-Jimenez, D., Lopez-Martinez, F. J., Martos-Naya, E., Paris, J. F., & Lozano, A. (2014). Connections between the Generalized Marcum Q-Function and a class of Hypergeometric Functions. IEEE Transactions on Information Theory, 60(2), 1077-1082. https://doi.org/10.1109/TIT.2013.2291198