Title

Bound On The Extreme Zeros Of Orthogonal Polynomials

Keywords

Bounds; Chain sequences; Chihara-Wall-Wetzel theorem; Laguerre polynomials; Largest zero; Meixner polynomials; Meixner-Pollaczek polynomials; Recurrence relations; Smallest zero

Abstract

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 an and bn. © 1992 American Mathematical Society.

Publication Date

1-1-1992

Publication Title

Proceedings of the American Mathematical Society

Volume

115

Issue

1

Number of Pages

131-140

Document Type

Article

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1090/S0002-9939-1992-1079891-5

Socpus ID

0000968479 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0000968479

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