  The method of Q-cumulants is a powerful tool to study the fine details of
azimuthal anisotropies in high energy nuclear collisions. This paper presents a
new method, based on mathematical induction, to evaluate the analytical form of
the high-order Q-cumulants. The ability of this method is demonstrated via a
toy model that uses the elliptic power distribution to simulate anisotropic
emission of particles, quantified in terms of Fourier flow harmonics v_{n}. The
method can help in studying the large amount of event statistics that can be
collected in the future, and to allow measurements of very high central moments
of the v_{2} distribution. This can in turn facilitate progress in
understanding the initial geometry, input to hydrodynamic calculations of
medium expansion in high energy nuclear collisions, as well as constraints on
it.
