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

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.

References in corpus (1)

• Non-iterative computation of Gauss-Jacobi quadrature

Cited by in corpus (1)

• Asymptotic expansions of Jacobi polynomials and of the nodes and weights of Gauss-Jacobi quadrature for large degree and parameters in terms of elementary functions