Asymptotic Expansions of Jacobi Polynomials for Large Values of Beta

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URI: http://hdl.handle.net/10902/14453
ISSN: 1815-0659
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Autoría
Gil Gómez, AmparoAutoridad Unican; Segura Sala, José JavierAutoridad Unican; Temme, Nico M.
Fecha
2018
Derechos
Attribution 4.0 International
Publicado en
SIGMA 14 (2018), 07
Editorial
Department of Applied Research Institute of Mathematics of National Academy of Science of Ukraine
Resumen/Abstract
Asymptotic approximations of Jacobi polynomials are given for large values of the Beta-parameter and of their zeros. The expansions are given in terms of Laguerre polynomials and of their zeros. The levels of accuracy of the approximations are verified by numerical examples.
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