Irreducibility of generalized Hermite-Laguerre polynomials

DOI10.7169/facm/2012.47.1.4zbMath1275.11055arXiv1306.0745OpenAlexW2963170065MaRDI QIDQ714391

Tarlok N. Shorey, Shanta Laishram

Publication date: 21 October 2012

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.0745

zbMATH Keywords

primesirreducibilityarithmetic progressionsHermite-Laguerre polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Polynomials in number theory (11C08) Arithmetic progressions (11B25)

Related Items (5)

Irreducibility of generalized Hermite-Laguerre polynomials. III. ⋮ Squares in blocks from an arithmetic progression and Galois group of Laguerre polynomials ⋮ Irreducibility of generalized Laguerre polynomials \(L_n^{(\frac{1}{2} + u)}(x)\) with integer \(u\) ⋮ Diophantine equations concerning balancing and Lucas balancing numbers ⋮ Powers in products of terms of Pell's and Pell–Lucas Sequences

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• A generalization of a third irreducibility theorem of I. Schur
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• GRIMM'S CONJECTURE ON CONSECUTIVE INTEGERS

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