Bound On The Extreme Zeros Of Orthogonal Polynomials
Abbreviated Journal Title
Proc. Amer. Math. Soc.
Bounds; Chain Sequences; Chihara-Wall-Wetzel Theorem; Laguerre; Polynomials; Largest Zero; Meixner Polynomials; Meixner-Pollaczek; Polynomials; Recurrence Relations; Smallest Zero; Mathematics, Applied; Mathematics
Using chain sequences we formulate a procedure to find upper (lower) bounds for the largest (smallest) zero of orthogonal polynomials in terms of their recurrence coefficients. We also apply our method to derive bounds for extreme zeros of the Laguerre, associated Laguerre, Meixner, and Meixner-Pollaczek polynomials. In addition, we consider bounds for the extreme zeros of Jacobi polynomials of degree n and parameters a(n) and b(n).
Proceedings of the American Mathematical Society
"Bound On The Extreme Zeros Of Orthogonal Polynomials" (1992). Faculty Bibliography 1990s. 486.