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Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 073, 9 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.073 (Mi sigma1372) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Asymptotic Expansions of Jacobi Polynomials for Large Values of $\beta$ and of Their Zeros

Amparo Gila, Javier Seguraa, Nico M. Temmeb

a Universidad de Cantabria, 39005-Santander, Spain
b IAA, 1825 BD 25, Alkmaar, The Netherlands
   Former address: Centrum Wiskunde & Informatica (CWI), Science Park 123, 1098 XG Amsterdam, The Netherlands
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DOI: https://doi.org/10.3842/SIGMA.2018.073
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.
Keywords: Jacobi polynomial; large-beta asymptotics; Laguerre polynomial.
Funding agency Grant number
Ministerio de Economía y Competitividad de España MTM2015-67142-P
This work was supported by Ministerio de Economía y Competitividad, project MTM2015-67142-P (MINECO/FEDER, UE). NMT thanks CWI, Amsterdam, for scientific support.
Received: April 19, 2018; in final form July 12, 2018; Published online July 17, 2018
Bibliographic databases:
Document Type: Article
MSC: 33C45; 41A60; 65D20
Language: English
Citation: Amparo Gil, Javier Segura, Nico M. Temme, “Asymptotic Expansions of Jacobi Polynomials for Large Values of $\beta$ and of Their Zeros”, SIGMA, 14 (2018), 073, 9 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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