Remarks on results by Müger and Tuset on the moments of polynomials

Generalized Functions and the Expansion of Moments

“…Recently Müger and Tuset [25] considered the behavior of the moments of a non constant complex polynomial f, showing that lim sup n→∞ |M n (f )| 1/n > 0 , or, equivalently, that the power series ∞ n=0 M n (f ) z n does not define an entire function. Other properties of the moments of complex polynomials were given by Markowsky and Phung [22]. Corresponding results for non periodic real analytic functions were given in [9].…”