Bounds for extreme zeros of some classical orthogonal polynomials
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Date
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.