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Physical Sciences and Engineering Mathematics Analysis

Bounds for extreme zeros of some classical orthogonal polynomials

Article ID Journal Published Year Pages File Type
4607335 Journal of Approximation Theory 2012 5 Pages PDF
Abstract

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

Keywords
Interlacing of zeros
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Bounds for extreme zeros of some classical orthogonal polynomials
Authors
K. Driver, K. Jordaan,
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Journal
Journal of Approximation Theory
Journal: Journal of Approximation Theory
Related Categories
Interlacing of zeros
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