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Asymptotic Expansions of Jacobi Polynomials for Large Values of Beta

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.

 Fuente: SIGMA 14 (2018), 07

Editorial: Department of Applied Research Institute of Mathematics of National Academy of Science of Ukraine

 Año de publicación: 2018

Nº de páginas: 9

Tipo de publicación: Artículo de Revista

 DOI: doi.org/10.3842/SIGMA.2018.073

ISSN: 1815-0659

Proyecto español: MTM2015-67142-P