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Mehler-Heine asymptotics of a class of generalized hypergeometric polynomials

2013, Bracciali, Cleonice F., Moreno-Balcázar, Juan José

We obtain a Mehler–Heine type formula for a class of generalized hypergeometric polynomials. This type of formula describes the asymptotics of polynomials scale conveniently. As a consequence of this formula, we obtain the asymptotic behavior of the corresponding zeros. We illustrate these results with numerical experiments and some figures.