## On the computation of moments of the partial non-central chi-square distribution function.(English)Zbl 1340.60145

Brandts, J. (ed.) et al., Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, May 15–17, 2013. In honor of the 70th birthday of Karel Segeth. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics (ISBN 978-80-85823-61-5). 98-103 (2013).
Summary: 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.
For the entire collection see [Zbl 1277.00032].

### MSC:

 60K35 Interacting random processes; statistical mechanics type models; percolation theory 60H35 Computational methods for stochastic equations (aspects of stochastic analysis)

### Keywords:

gamma function; Bessel function; Lentz algorithm; moment

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