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arxiv: 1306.0740 · v1 · pith:WZAY6CIQnew · submitted 2013-06-04 · 🧮 math.NT

Irreducibility of generalized Hermite-Laguerre Polynomials II

classification 🧮 math.NT
keywords frachermite-laguerreirreduciblepolynomialpolynomialsdegreeeithergeneralised
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In this paper, we show that for each $n\geq 1$, the generalised Hermite-Laguerre Polynomials $G_{\frac{1}{4}}$ and $G_{\frac{3}{4}}$ are either irreducible or linear polynomial times an irreducible polynomial of degree $n-1$.

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