Asymptotics for Some q-Hypergeometric Polynomials

Author:

Mañas–Mañas Juan F.ORCID,Moreno–Balcázar Juan J.ORCID

Abstract

AbstractWe 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.

Funder

Ministerio de Ciencia, Innovación y Universidades

Consejería de Economía, Conocimiento, Empresas y Universidad de la Junta de Andalucía

Research Group FQM-0229

Junta de Andalucía

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Reference27 articles.

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5. Aptekarev, A.I.: Asymptotics of orthogonal polynomials in a neighborhood of endpoints of the interval of orthogonality, (Russian) Russian Acad. Sci. Sb. Math. 76(1), 35–50 (1993)

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