Volume 36, pp. 27-38, 2009-2010.

Zeros of sections of the binomial expansion

Svante Janson and Timothy S. Norfolk

Abstract

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

Full Text (PDF) [169 KB]

Key words

Binomial expansion, partial sums, zeros.

AMS subject classifications

30C15.

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