Extensions of Schur's irreducibility results
arXiv:1306.0754 · doi:10.1016/j.indag.2011.03.002
Abstract
We prove that the generalised Laguerre polynomials with $0\le \al\le 50$ are irreducible except for finitely many pairs $(n, \al)$ and that these exceptions are necessary. In fact it follows from a more general statement.