A congruence property of irreducible Laguerre polynomials in two variables

2014/08/08 by Nikolai A. Krylov, Krylov, Nikolai A., Zhangyuan Li +1
Mathematics · Physics and Astronomy · #11C08 #33C45 #33C50 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #math.CA #msc:11C08 #msc:33C45 #msc:33C50

paper · pdf · doi:10.48550/arxiv.1408.1904

10 pages

arxiv created 2014/08/08 · openalex publication_date 2014/08/08 · arxiv updated 2014/08/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper we introduce a version of irreducible Laguerre polynomials in two variables and prove for it a congruence property, which is similar to the one obtained by Carlitz for the classical Laguerre polynomials in one variable.

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