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Asymptotics of zeros of polynomials arising from rational integrals

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Elsevier B.V.

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Abstract

We prove that the zeros of the polynomials P.. (a) of degree m, defined by Boros and Moll via[GRAPHICS]approach the lemmiscate {zeta epsilon C: \zeta(2) - 1\ = Hzeta < 0}, as m --> infinity. (C) 2004 Elsevier B.V. All rights reserved.

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rational integral, polynomial, zeros, asymptotic behavior, lemniscate

Language

English

Citation

Journal of Mathematical Analysis and Applications. San Diego: Academic Press Inc. Elsevier B.V., v. 299, n. 1, p. 127-132, 2004.

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