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arXiv · 2501.07138

Asymptotics for some $q$-hypergeometric polynomials

Juan F. Mañas-Mañas·Juan J. Moreno-Balcázar
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Abstract

We tackle the study of a type of local asymptotics, known as Mehler--Heine asymptotics, for some $q$--hypergeometric polynomials. Some consequences about the asymptotic behavior of the zeros of these polynomials are discussed. We illustrate the results with numerical examples.

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Juan F. Mañas-Mañas, Juan J. Moreno-Balcázar. 2025-01-13. Asymptotics for some $q$-hypergeometric polynomials. https://doi.org/10.1007/s00025-022-01693-6

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