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Derangements and applications. (English) Zbl 1066.33002
Summary: In this paper we introduce some formulas for the number of derangements. Then we define the derangement function and use the software package MAPLE to obtain some integrals related to the incomplete gamma function and also to some hypergeometric summations.

MSC:
33B20 Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals)
33C20 Generalized hypergeometric series, \({}_pF_q\)
Software:
Maple; OEIS
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