  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.

High Energy Physics - Phenomenology