Within inventory management U1inv computations are needed on a large scale, e.g. in inventory problems with a huge
amount of items. So one can appreciate the direct benefit of having a highly efficient and effective approximation within
the range and the precision of double precision floating point numbers.
Other statistical applications where these and other repeated integrals can be used are listed in Fisher [16]:
Calculation of moments of truncated normal distribution;
Expression of the non-central t density;
In the posterior distribution of a Poisson variate with chi-squared prior for the squared mean parameter of the Poisson
variate