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arXiv · 1406.6193

Mehler-Heine type formulas for Charlier and Meixner polynomials

Diego Dominici
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Abstract

We derive Mehler--Heine type asymptotic formulas for Charlier and Meixner polynomials, and also for their associated families. These formulas provide good approximations for the polynomials in the neighborhood of $x=0,$ and determine the asymptotic limit of their zeros as the degree $n$ goes to infinity.

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Diego Dominici. 2014-06-24. Mehler-Heine type formulas for Charlier and Meixner polynomials. https://arxiv.org/abs/1406.6193

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