Some remarks on a paper by L. Carlitz

2005/04/22 by Diego Dominici, Dominici, Diego
Mathematics · #33A65 (Primary) 11B83 #46E39 (Secondary) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:11B83 #msc:33A65 #msc:46E39

paper · pdf · doi:10.48550/arxiv.math/0504476

23 pages

arxiv created 2005/04/22 · arxiv updated 2009/12/01

Abstract

We study a family of orthogonal polynomials which generalizes a sequence of polynomials considered by L. Carlitz. We show that they are a special case of the Sheffer polynomials and point out some interesting connections with certain Sobolev orthogonal polynomials.

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