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Differential operators and entire functions with simple real zeros

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Publication:705270
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DOI10.1016/j.jmaa.2004.07.032zbMath1066.30031OpenAlexW2097887908MaRDI QIDQ705270

S. A. de Gaston, David A. Cardon

Publication date: 26 January 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.07.032


zbMATH Keywords

differential operatorsLaguerre-Pólya classsimplicity of zeros


Mathematics Subject Classification ID

Polynomials and rational functions of one complex variable (30C10) Special classes of entire functions of one complex variable and growth estimates (30D15)


Related Items (3)

The Laguerre inequality and the distribution of zeros of entire functions ⋮ Interlacing properties of coefficient polynomials in differential operator representations of real-root preserving linear transformations ⋮ Complex zero strip decreasing operators



Cites Work

  • Differential operators of infinite order and the distribution of zeros of entire functions
  • On inequalities of the Turán type


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