  Study of charged particle multiplicity distribution in high energy
interactions of particles helps in revealing the dynamics of particle
production and the underlying statistical patterns, which these distributions
follow. Several distributions derived from statistics have been employed to
understand its behaviour. In one of our earlier papers, we introduced the
shifted Gompertz distribution to investigate this variable and showed that the
multiplicity distributions in a variety of processes at different energies can
be very well described by this distribution. The fact that the shifted Gompertz
distribution, which has been extensively used in diffusion theory, social
networks and forecasting has been used for the first time in high energy
physics collisions, remains interesting. In this paper we investigate the
phenomenon of oscillatory behaviour of the counting statistics observed in the
experimental data, resulting from different types of recurrence relations
defining the probability distributions. We search for such oscillations in the
multiplicity distributions well described by the shifted Gompertz distribution
and compare our results with the analysis proposed by G. Wilk et al.
