Congruence properties of the polynomials of Hermite, Laguerre and Legendre

DOI10.1007/BF01180274zbMath0055.06401MaRDI QIDQ2651633

Leonard Carlitz

Publication date: 1954

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/169405

Mathematics Subject Classification ID

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

Related Items (13)

On the Tutte and Matching Polynomials for Complete Graphs ⋮ Scaling properties of generalized Carlitz sequences of polynomials ⋮ The coefficients of the reciprocal of \(J_0(x)\) ⋮ The irreducibility of some Wronskian Hermite polynomials ⋮ Arithmetic properties of certain polynomial sequences ⋮ On the Galois groups of Legendre polynomials ⋮ Unnamed Item ⋮ HYPERELLIPTIC CURVES, CARTIER — MANIN MATRICES AND LEGENDRE POLYNOMIALS ⋮ The self-affine property of \((U,r)\)-Carlitz sequences of polynomials deciphered in terms of graph directed IFS ⋮ SUBSTITUTIONS GENERATING THE FRACTAL MATRICES OF THE p-ADIC VALUATION OF THE BINOMIAL AND LEGENDRE-POLYNOMIAL COEFFICIENTS ⋮ Control theory, integral matrices, and orthogonal polynomials ⋮ Congruence properties of Hermite and Laguerre polynomials ⋮ On the foundations of combinatorial theory. VIII: Finite operator calculus

Cites Work

• Unnamed Item
• New cases of irreducibility for Legendre polynomials
• Quelques Nouvelles Relations Pour les Polynomes D'Hermite
• A New Absolute Geometric Constant?

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