Publications and Preprints

Extensions of Schur's irreducibility results
Shanta Laishram and T. N. Shorey
We prove that the generalised Laguerre polynomials $L_{n}^{(\alpha)}(x)$ 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.

isid/ms/2011/08 [fulltext]

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