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arxiv: 1010.3348 · v3 · pith:4IW3CFXNnew · submitted 2010-10-16 · 🧮 math.CA · cs.IT· math.IT

The generalized Marcum Q-function: an orthogonal polynomial approach

classification 🧮 math.CA cs.ITmath.IT
keywords generalizedconvergencefunctionmarcumpowerseriesabsoluteanalysis
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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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