A Note on Extended Binomial Coefficients
Combinatorics
2014-07-29 v1 Classical Analysis and ODEs
Abstract
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 limit theorem and we state all coefficients explicitly as sums of Hermite polynomials and Bernoulli numbers.
Cite
@article{arxiv.1407.7429,
title = {A Note on Extended Binomial Coefficients},
author = {Thorsten Neuschel},
journal= {arXiv preprint arXiv:1407.7429},
year = {2014}
}