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

Symmetry Integrability and Geometry-Methods and Applications

article

Amparo Gil¹  Javier Segura¹  Nico M. Temme² 

[1] Universidad de Cantabria;IAA

关键词: Jacobi polynomial;    large-beta asymptotics;    Laguerre polynomial;   

DOI  :  10.3842/SIGMA.2018.073

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown