Some remarks on a paper by L. Carlitz

Mathematics – Classical Analysis and ODEs

Scientific paper

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23 pages

Scientific paper

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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