The generalized Marcum $Q-$function: an orthogonal polynomial approach


A novel power series representation of the generalized Marcum Q-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.

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@article{Andrs2010TheGM, title={The generalized Marcum \$Q-\$function: an orthogonal polynomial approach}, author={Szil{\'a}rd Andr{\'a}s and {\'A}rp{\'a}d Baricz and Yin Sun}, journal={CoRR}, year={2010}, volume={abs/1010.3348} }