Bounds for extreme zeros of some classical orthogonal polynomials

Loading...
Thumbnail Image

Authors

Driver, Kathy (Cathryn Helena Stanford)
Jordaan, Kerstin Heidrun

Journal Title

Journal ISSN

Volume Title

Publisher

Elsevier`

Abstract

We use mixed three term recurrence relations typically satis ed by classical orthogonal polynomials from sequences corresponding to di erent parameters to derive upper (lower) bounds for the smallest (largest) zeros of Jacobi, Laguerre and Gegenbauer polynomials.

Description

Keywords

Bounds for zeros, Interlacing of zeros, Common zeros

Sustainable Development Goals

Citation

K. Driver, K. Jordaan, Bounds for extreme zeros of some classical orthogonal polynomials, Journal of Approximation Theory, vol. 164, no. 9, pp. 1200-1204 (2012), doi: 10.1016/j.jat.2012.05.014.