Zeros of Sections of the Binomial Expansion

Details Zeros of Sections of the Binomial Expansion Zeros of Sections of the Binomial Expansion

2009-03-23

arxiv.org/abs/0903.3866v2

Mathematics

Complex Variables

18 pages, 3 figures

Scientific paper

We examine the asymptotic behaviour of the zeros of sections of the binomial
expansion. That is, we consider the distribution of zeros of $\displaystyle
B_{r,n}(z) = \sum_{k=0}^r {n \choose k} z^k$, where $1 \le r < n$.

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