On the irreducibility of extended Laguerre Polynomials

Anuj Jakhar, Srinivas Kotyada, Arunabha Mukhopadhyay

Let $m\ge 1$ and $a_m$ be integers. Let $\alpha$ be a rational number which is not a negative integer such that $\alpha =\frac{u}{v}$ with $\gcd (u,v)=1,v>0$. Let $\varphi (x)$ belonging to $\Z[…