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Hermite-expansion and strips for zero of polynomials

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Publication:2651584
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DOI10.1007/BF01899331zbMath0055.01403OpenAlexW2081312573WikidataQ106110795 ScholiaQ106110795MaRDI QIDQ2651584

Pál Turán

Publication date: 1954

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01899331


zbMATH Keywords

linear algebra, polynomials, forms



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Zero-free angular sectors and lens-shaped regions for polynomials, with applications to irreducibility ⋮ Zeros of linear combinations of orthogonal polynomials ⋮ Estimates for zeros of polynomials ⋮ Hermite multiplier sequences and their associated operators ⋮ Estimates for the Imaginary Parts of the Zeros of a Polynomial ⋮ Parity of polynomial multiplier sequences for the Chebyshev basis ⋮ Some applications of the comrade matrix ⋮ Orthogonal expansion of real polynomials, location of zeros, and an \(L^2\) inequality ⋮ The expansion of Wronskian Hermite polynomials in the Hermite basis ⋮ Zeros of expansions in orthogonal polynomials ⋮ Imaginary part bounds on polynomial zeros ⋮ Orthogonal polynomial expansions for the Riemann xi function in the Hermite, Meixner--Pollaczek, and continuous Hahn bases



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