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

Authors :
András, Szilárd
Baricz, Árpád
Sun, Yin
Source :
Acta Universitatis Sapientiae Mathematica 3(1) (2011) 60-76
Publication Year :
2010

Abstract

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.<br />Comment: 11 pages

Details

Database :
arXiv
Journal :
Acta Universitatis Sapientiae Mathematica 3(1) (2011) 60-76
Publication Type :
Report
Accession number :
edsarx.1010.3348
Document Type :
Working Paper