Reconstruction of distribution from a finite number of its moments

The problem of reconstructing the γ ‐ multiplicity distribution from the measured γ ‐ fold distribution in a fusion reaction is revisited. The known moments of the γ ‐ multiplicity distribution are used to reconstruct the distribution itself, utilising the fact that γ ‐ multiplicity is a discrete variable. It is shown that the computational challenges encountered in this method can be overcome by switching to multiple precision calculation.