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

Amparo Gil, Javier Segura, Nico M. Temme

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…