Some new asymptotic properties for the zeros of Jacobi, Laguerre and Hermite polynomials

Holger Dette, William J. Studden

For the generalized Jacobi, Laguerre and Hermite polynomials $P_n^{({\alpha }_n,{\beta }_n)}(x),L_n^{({\alpha }_n)}(x),$\break $H_n^{({\gamma }_n)}(x)$ the limit distributions of the zeros are found, when t…