The Laguerre inequality and the distribution of zeros of entire functions

DOI10.5802/ambp.210zbMath1096.30023OpenAlexW2323429826MaRDI QIDQ819617

Alain Escassut, George Csordas

Publication date: 29 March 2006

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_2005__12_2_331_0

zbMATH Keywords

Laguerre-Pólya classHermite-Biehler theoreminfinite order differential operatorLaguerre inequality

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (2)

Fourier transforms of positive definite kernels and the Riemann \(\xi\)-function ⋮ On the number of non-real zeroes of a homogeneous differential polynomial and a generalisation of the Laguerre inequalities

Cites Work

• Differential operators and entire functions with simple real zeros
• Necessary and sufficient conditions and the Riemann hypothesis
• Differential operators of infinite order and the distribution of zeros of entire functions
• The roots of trigonometric integrals
• LEVEL SETS OF REAL ENTIRE FUNCTIONS AND THE LAGUERRE INEQUALITIES
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