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math.CA2016★ 4 cited
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 power of the roots of , the Laguerre-polynomial of degree with parameter . The connection…
math.CA2015
Wigner matrices, the moments of roots of Hermite polynomials and the semicircle law
Miklós Kornyik, György Michaletzky
In the present paper we give two alternate proofs of the well known theorem that the empirical distribution of the appropriately normalized roots of the monic Hermite poly…