Geodesic
Asymptotic Expansions of Jacobi Polynomials for Large Values of $\beta$ and of Their Zeros
Symmetry, integrability and geometry: methods and applications, Tome 14 (2018) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {Amparo Gil and Javier Segura and Nico M. Temme},
     title = {Asymptotic {Expansions} of {Jacobi} {Polynomials} for {Large} {Values} of $\beta$ and of {Their} {Zeros}},
     journal = {Symmetry, integrability and geometry: methods and applications},
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     url = {http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a72/}
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Amparo Gil; Javier Segura; Nico M. Temme. Asymptotic Expansions of Jacobi Polynomials for Large Values of $\beta$ and of Their Zeros. Symmetry, integrability and geometry: methods and applications, Tome 14 (2018). http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a72/

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