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arXiv · 1804.06749

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

Amparo Gil·Javier Segura·Nico M. Temme
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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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Amparo Gil, Javier Segura, Nico M. Temme. 2018-04-18. Asymptotic Expansions of Jacobi Polynomials for Large Values of $\beta$ and of Their Zeros. https://doi.org/10.3842/sigma.2018.073

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