paper

The generalized Marcum function: an orthogonal polynomial approach

arXiv:1010.3348

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.

11 pages

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