Properties satisfied by the moments of the partial non-central $\chi$-square distribution function, also known as Nuttall Q-functions, and methods for computing these moments are discussed in this paper. The Nuttall Q-function is involved in the study of a variety of problems in different fields, as for example digital communications.

EUDML-ID : urn:eudml:doc:287826
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@article{702935,
     title = {On the computation of moments of the partial non-central $\chi $-square distribution function},
     booktitle = {Applications of Mathematics 2013},
     series = {GDML\_Books},
     publisher = {Institute of Mathematics AS CR},
     address = {Prague},
     year = {2013},
     pages = {98-103},
     mrnumber = {MR3204434},
     zbl = {1340.60145},
     url = {http://dml.mathdoc.fr/item/702935}
}

Gil, Amparo; Segura, Javier; Temme, Nico C. On the computation of moments of the partial non-central $\chi $-square distribution function, dans Applications of Mathematics 2013, GDML_Books,  (2013), pp. 98-103. http://gdmltest.u-ga.fr/item/702935/