Some generalized Laguerre polynomials whose Galois groups are the alternating groups

DOI10.1016/0022-314X(89)90021-8zbMath0693.12009MaRDI QIDQ584315

Jianyong Qiao, Sumit K. Garg

Publication date: 1989

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

inverse Galois problemalternating groupgeneralized Laguerre polynomials

Mathematics Subject Classification ID

Galois theory (11R32) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Inverse Galois theory (12F12)

Related Items (14)

On the Galois group of generalized Laguerre polynomials ⋮ On a certain family of generalized Laguerre polynomials ⋮ Classifying families of orthogonal polynomials having Galois group the alternating group ⋮ Specializations of one-parameter families of polynomials ⋮ On the irreducibility of a certain class of Laguerre polynomials ⋮ On Galois groups of generalized Laguerre polynomials whose discriminants are squares ⋮ Irreducibility of generalized Laguerre polynomials \(L_n^{(\frac{1}{2} + u)}(x)\) with integer \(u\) ⋮ On classifying Laguerre polynomials which have Galois group the alternating group ⋮ On the Jacobians of Curves Defined by the Generalized Laguerre Polynomials ⋮ On the ranks of the Jacobians of curves defined by Jacobi polynomials ⋮ On Galois groups of a one-parameter orthogonal family of polynomials ⋮ On the genus of generalized Laguerre polynomials ⋮ On the factorization of consecutive integers ⋮ Laguerre polynomials with Galois group \(A_m\) for each \(m\)

Cites Work

• Addendum to "On Some Algebraic Properties of the Bessel Polynomials"

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