Asymptotic Expansions of Jacobi Polynomials for Large Values of β and of Their Zeros

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dc.contributor.authorGil, A.
dc.contributor.authorSegura, J.
dc.contributor.authorTemme, N.M.
dc.date.accessioned2025-11-26T12:15:09Z
dc.date.issued2018
dc.description.abstractAsymptotic approximations of Jacobi polynomials are given for large values of the β-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.
dc.description.sponsorshipThe authors thank the referees for their helpful comments. This work was supported by Ministerio de Economía y Competitividad, project MTM2015-67142-P (MINECO/FEDER, UE). NMT thanks CWI, Amsterdam, for scientific support.
dc.identifier.citationAsymptotic Expansions of Jacobi Polynomials for Large Values of β and of Their Zeros / A. Gil, J. Segura, N.M. Temme // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 4 назв. — англ.
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2018.073
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 33C45; 41A60; 65D20
dc.identifier.otherarXiv: 1804.06749
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/209777
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleAsymptotic Expansions of Jacobi Polynomials for Large Values of β and of Their Zeros
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2018, том 14, випуск за цей рік