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charlier polynomials 1generating functions 1mehler-heine asymptotics 1meixner polynomials 1sobolev orthogonal polynomials 1zero distribution 1

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1 paper

math.CA2026

On generating functions and Mehler--Heine formulas for discrete Charlier and Meixner Sobolev-type orthogonal polynomials

Anier Soria Lorente, Junior Michel

The paper constructs a unified generating‑function framework for Sobolev‑type discrete Charlier and Meixner orthogonal polynomials and uses it to derive Mehler‑Heine asymptotic for…