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math.CA2013
Plancherel-Rotach formulae for average characteristic polynomials of products of Ginibre random matrices and the Fuss-Catalan distribution
Thorsten Neuschel
Formulae of Plancherel-Rotach type are established for the average characteristic polynomials of certain Hermitian products of rectangular Ginibre random matrices on the region of…
math.CA2013★ 1 cited
On a conjecture on sparse binomial-type polynomials by Brown, Dilcher and Manna
Wolfgang Gawronski, Thorsten Neuschel
We prove a conjecture by Brown, Dilcher and Manna on the asymptotic behavior of sparse binomial-type polynomials arising naturally in a graph theoretical context in connection with…
math.CA2013★ 1 cited
Apéry Polynomials and the multivariate Saddle Point Method
Thorsten Neuschel
The Apéry polynomials and in particular their asymptotic behavior play an essential role in the understanding of the irrationality of ζ(3). In this paper, we present a method to st…