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Complex Variables, Theory and Application: An International Journal Volume 47, 2002 - Issue 1
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Original Articles

Non-real Zeros of Derivatives of Real Entire Functions and the Pólya-Wiman Conjectures

Stephanie Edwards Department of Mathematics, University of Dayton, Dayton, Ohio, 45469-2316
&
Simon Hellerstein Department of Mathematics, University of Wisconsin - Madison, Madison, Wisconsin, 53706
Pages 25-57 | Published online: 15 Sep 2010

Citations (11)

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Read on this site (1)

M.I. Gil. (2009) A transform of finite order entire functions and perturbations of zeros. Complex Variables and Elliptic Equations 54:5, pages 493-509.
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Articles from other publishers (10)

Michael Gil’. (2020) Conservation of the number of zeros of entire functions inside and outside a circle under perturbations. Rocky Mountain Journal of Mathematics 50:2.
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Michael Gil. (2019) On location in a half-plane of zeros of perturbed first order entire functions. Mathematica Moravica 23:1, pages 51-61.
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Daniel A. Nicks. (2012) Non-real zeroes of real entire derivatives. Journal d'Analyse Math?matique 117:1, pages 87-118.
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Mikhail Tyaglov. (2011) On the number of real critical points of logarithmic derivatives and the Hawaii conjecture. Journal d'Analyse Math?matique 114:1, pages 1-62.
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James Langley. (2010) Zeros of Derivatives of Meromorphic Functions. Computational Methods and Function Theory 10:2, pages 421-439.
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J. K. Langley. (2010) Real meromorphic functions and linear differential polynomials. Science China Mathematics 53:3, pages 739-748.
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J. K. Langley. (2009) Non-real zeros of linear differential polynomials. Journal d'Analyse Math?matique 107:1, pages 107-140.
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James Langley. (2013) Solution of a Problem of Edwards and Hellerstein. Computational Methods and Function Theory 6:1, pages 243-252.
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Walter Bergweiler & Alexandre Eremenko. (2006) Proof of a conjecture of P?lya on the zeros of successive derivatives of real entire functions. Acta Mathematica 197:2, pages 145-166.
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J. K. Langley. (2005) Non-real zeros of higher derivatives of real entire functions of infinite order. Journal d'Analyse Mathématique 97:1, pages 357-396.
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