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

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

2010-10-16

arxiv.org/abs/1010.3348v3

Acta Universitatis Sapientiae Mathematica 3(1) (2011) 60-76

Mathematics

Classical Analysis and ODEs

11 pages

Scientific paper

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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