Connections between the Generalized Marcum Q-Function and a class of Hypergeometric Functions
Information Theory
2020-04-02 v1 math.IT
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.
Cite
@article{arxiv.1303.5464,
title = {Connections between the Generalized Marcum Q-Function and a class of Hypergeometric Functions},
author = {D. Morales-Jimenez and F. J. Lopez-Martinez and E. Martos-Naya and J. F. Paris and A. Lozano},
journal= {arXiv preprint arXiv:1303.5464},
year = {2020}
}
Comments
The manuscript has been submitted to IEEE Transactions on Information Theory. It contains 13 pages and 1 figure