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15998 Representations for the extreme zeros of orthogonal polynomials

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van Doorn, E.A. and van Foreest, N.D. and Zeifman, A.I. (2009) Representations for the extreme zeros of orthogonal polynomials. Journal of computational and applied mathematics, 233 (3). pp. 847-851. ISSN 0377-0427 *** ISI Impact 1,029 ***

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Official URL: http://dx.doi.org/10.1016/j.cam.2009.02.051

Abstract

We establish some representations for the smallest and largest zeros of orthogonal polynomials in terms of the parameters in the three-terms recurrence relation. As a corollary we obtain representations for the endpoints of the true interval of orthogonality. Implications of these results for the decay parameter of a birth death process (with killing) are displayed.

Item Type:	Article
Research Group:	EWI-SP: Statistics and Probability
Research Program:	CTIT-IE&ICT: Industrial Engineering and ICT
Uncontrolled Keywords:	Three-terms recurrence relation, Interval of orthogonality, Birth-death process, Decay parameter
ID Code:	15998
Status:	Published
Deposited On:	10 September 2009
Refereed:	Yes
International:	Yes
ISI Impact Factor:	1,029
More Information:	statistics metis

Available Versions of this Item

Representations for the extreme zeros of orthogonal polynomials (deposited 31 August 2007)
- Representations for the extreme zeros of orthogonal polynomials (deposited 10 September 2009)
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