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Article

Gil, Amparo ; Segura, Javier ; Temme, Nico C.
On the computation of moments of the partial non-central $\chi$-square distribution function. (English). In: Brandts, J., Korotov, S., Křížek, M., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2013, In honor of the 70th birthday of Karel Segeth. Proceedings. Prague, May 15-17, 2013. Institute of Mathematics AS CR, Prague, 2013. pp. 98-103
MSC: 60H35, 60K35 | MR 3204434 | Zbl 1340.60145
Keywords:
gamma function; Bessel function; Lentz algorithm; moment
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.
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