Some irreducibility results for truncated binomial expansions

Sudesh K. Khanduja, Ramneek Khassa, Shanta Laishram

For positive integers $n>k$, let $P_{n,k}(x)=\sum _{j=0}^k\left(\genfrac{}{}{0ex}{}{n}{j}\right)x^j$ be the polynomial obtained by truncating the binomial expansion of $(1+x{)}^n$ at the $k^{th}…