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arXiv · 1303.5464

Connections between the Generalized Marcum Q-Function and a class of Hypergeometric Functions

D. Morales-Jimenez·F. J. Lopez-Martinez·E. Martos-Naya·J. F. Paris·A. Lozano
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Abstract

This paper presents a new connection between the generalized Marcum-Q function and the confluent hypergeometric function of two variables, phi3. 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 non-central 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.

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D. Morales-Jimenez, F. J. Lopez-Martinez, E. Martos-Naya, J. F. Paris, A. Lozano. 2013-03-21. Connections between the Generalized Marcum Q-Function and a class of Hypergeometric Functions. https://doi.org/10.1109/tit.2013.2291198

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