17 citations · 36 across the 14 of their papers we have counts for
6 papers · 1 filter
Complete Monotonicity and Zeros of Sums of Squared Baskakov Functions
Ulrich Abel, Wolfgang Gawronski, Thorsten Neuschel
We prove complete monotonicity of sums of squares of generalized Baskakov basis functions by deriving the corresponding results for hypergeometric functions. Moreover, in the centr…
On the asymptotic normality of the Legendre-Stirling numbers of the second kind
Wolfgang Gawronski, Lance L. Littlejohn, Thorsten Neuschel
For the Legendre-Stirling numbers of the second kind asymptotic formulae are derived in terms of a local central limit theorem. Thereby, supplements of the recently published asymp…
Jacobi polynomial moments and products of random matrices
Wolfgang Gawronski, Thorsten Neuschel, Dries Stivigny
Motivated by recent results in random matrix theory we will study the distributions arising from products of complex Gaussian random matrices and truncations of Haar distributed un…
A Note on Extended Binomial Coefficients
Thorsten Neuschel
We study the distribution of the extended binomial coefficients by deriving a complete asymptotic expansion with uniform error terms. We obtain the expansion from a local central l…
A New Proof of Stirling's Formula
Thorsten Neuschel
A new simple proof of Stirling's formula via the partial fraction expansion for the tangent function is presented.
Asymptotics for characteristic polynomials of Wishart type products of complex Gaussian and truncated unitary random matrices
Thorsten Neuschel, Dries Stivigny
Based on the multivariate saddle point method we study the asymptotic behavior of the characteristic polynomials associated to Wishart type random matrices that are formed as produ…