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math.CO2014★ 2 cited
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…
math.CO2013★ 1 cited
Asymptotics of Chebyshev-Stirling and Stirling numbers of the second kind
Wolfgang Gawronski, Lance L. Littlejohn, Thorsten Neuschel
For the Chebyshev-Stirling numbers, a special case of the Jacobi-Stirling numbers, asymptotic formulae are derived in terms of a local central limit theorem. The underlying probabi…