Irreducibility of generalized Hermite-Laguerre polynomials
Copyright policy )Irreducibility of generalized Hermite-Laguerre polynomials
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 $n-1$.
Mathematics(all), 11A41, irreducibility, Arithmetic progressions, 511, 11B25, arithmetic progressions, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Newton Polygons, FOS: Mathematics, Number Theory (math.NT), 11N13, Polynomials in number theory, Mathematics - Number Theory, primary, 11A41, 11B25, 11N05, 11N13, 11C08, 11Z05, Arithmetic Progressions, Polynomials in real and complex fields: factorization, prime factors, Irreducibility, 11Z05, Primes, primes, 11N05, Hermite-Laguerre polynomials, 11C08, Hermite-Laguerre Polynomials, generalized Hermite-Laguerre polynomials, Polynomials in general fields (irreducibility, etc.)
Mathematics(all), 11A41, irreducibility, Arithmetic progressions, 511, 11B25, arithmetic progressions, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Newton Polygons, FOS: Mathematics, Number Theory (math.NT), 11N13, Polynomials in number theory, Mathematics - Number Theory, primary, 11A41, 11B25, 11N05, 11N13, 11C08, 11Z05, Arithmetic Progressions, Polynomials in real and complex fields: factorization, prime factors, Irreducibility, 11Z05, Primes, primes, 11N05, Hermite-Laguerre polynomials, 11C08, Hermite-Laguerre Polynomials, generalized Hermite-Laguerre polynomials, Polynomials in general fields (irreducibility, etc.)
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