Irreducibility of generalized Hermite-Laguerre Polynomials II |
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Authors: | Shanta Laishram TN Shorey |
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Institution: | a Indian Institute of Science Education and Research ITI Campus (Gas Rahat) Building, Govindpura, Bhopal 462 023, India b School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India |
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Abstract: | In this paper, we show that for each n ≥ 1, the generalised Hermite-Laguerre Polynomials G¼ and G¾are either irreducible or linear polynomial times an irreducible polynomial of degree n−1. |
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