Mehler-Heine type formulas for Charlier and Meixner polynomials
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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