Extreme Eigenvalues of Toeplitz Matrices Associated with Certain Orthogonal Polynomials
John V. Baxley · SIAM Journal on Mathematical Analysis · 1971
Previous results of the author and I. I. Hirschman on the asymptotic behavior of the extreme eigenvalues of truncated Toeplitz matrices associated with Laguerre polynomials are extended using methods, initiated by S. V. Parter, involving the study of related finite difference operators. The same technique also leads to the corresponding results, already obtained by Hirschman, in the case of the Jacobi polynomials.