Can the truncated binomial series be expressed as a closed form \begin{align} \sum_{k=0}^{\lfloor (n-1)/2 \rfloor} \binom{n}{k} x^{k} \end{align}

  • $\begingroup$ It can be expressed in terms of the Hypergeometric function. $\endgroup$ – Marco Cantarini Mar 16 '15 at 6:16
  • $\begingroup$ I believe there is a simpler form. $\endgroup$ – science Mar 16 '15 at 6:34

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