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.

D. Morales-Jimenez and A. Lozano were supported in part by the Spanish/nGovernment under Projects TEC2012-34642 and CSD2008-00010 and in part/nby the Catalan Government under Grant SGR200970. F. J. Lopez-Martinez/nwas supported in part by the Spanish Government-FEDER under Grant/nTEC2011-25473, in part by Junta de Anda/nlucia under Grants TIC7109 and/nTIC8238, and in part by the University of Malaga and by the European Union/nunder the Marie-Curie Cofund U-mobility Program under Grant 246550./nE. Martos-Naya and J. F. Paris were supported in part by the Spanish/nGovernment-FEDER under Grant TEC2011-25473 and in part by Junta de/nAndalucia under Grants TIC7109 and TIC8238.