The generalized Marcum $Q-$function: an orthogonal polynomial approach
Classical Analysis and ODEs
2011-08-09 v3 Information Theory
math.IT
Abstract
A novel power series representation of the generalized Marcum function of positive order involving generalized Laguerre polynomials is presented. The absolute convergence of the proposed power series expansion is showed, together with a convergence speed analysis by means of truncation error. A brief review of related studies and some numerical results are also provided.
Cite
@article{arxiv.1010.3348,
title = {The generalized Marcum $Q-$function: an orthogonal polynomial approach},
author = {Szilárd András and Árpád Baricz and Yin Sun},
journal= {arXiv preprint arXiv:1010.3348},
year = {2011}
}
Comments
11 pages