Some remarks on a paper by L. Carlitz

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摘要

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.

论文关键词：primary 33A65,11B83,secondary 46E39,Sheffer polynomials,Favard's theorem,Sobolev orthogonal polynomials,Generating functions,Hypergeometric polynomials,Special functions

论文评审过程：Received 22 April 2005, Revised 23 November 2005, Available online 4 January 2006.

论文官网地址：https://doi.org/10.1016/j.cam.2005.11.023