On the moments of roots of Laguerre-polynomials and the Marchenko-Pastur law

Miklós Kornyik, György Michaletzky

In this paper we compute the leading terms in the sum of the $k^{th}$ power of the roots of $L_p^{(\alpha )}$, the Laguerre-polynomial of degree $p$ with parameter $\alpha$. The connection…