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

作者：Gil Amparo^*; Segura Javier; Temme Nico M

来源：Symmetry Integrability and Geometry-Methods and Applications, 2018, 14: 073.

DOI：10.3842/SIGMA.2018.073

• Jacobi polynomial
• large-beta asymptotics
• Laguerre polynomial

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.

• 出版日期2018