Asymptotic Expansions of Jacobi Polynomials for Large Values of $β$ and of Their Zeros (1804.06749v4)

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.