Zeros of Sections of the Binomial Expansion

Abstract

We examine the asymptotic behaviour of the zeros of sections of the binomial expansion. That is, we consider the distribution of zeros of $B_{r,n}(z)=\sum _{k=0}^r\left(\genfrac{}{}{0ex}{}{n}{k}\right)z^k$, where $1\le r<n$.

18 pages, 3 figures

Cited by in corpus (2)

• Zeros of Sections of Some Power Series
• Newman-Rivlin asymptotics for partial sums of power series