Sharp Turán inequalities via very hyperbolic polynomials

DOI10.1016/j.jmaa.2010.12.014zbMath1210.30003OpenAlexW2056508203MaRDI QIDQ624597

Dimitar K. Dimitrov, Vladimir Petrov Kostov

Publication date: 9 February 2011

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

Full work available at URL: http://hdl.handle.net/11449/72383

zbMATH Keywords

Laguerre-Pólya classhyperbolic polynomialsTurán inequalitiesvery hyperbolic polynomials

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) Entire functions of one complex variable (general theory) (30D20) Polynomials and rational functions of one complex variable (30C10) Inequalities in the complex plane (30A10)

Related Items (5)

Turán determinants of Bessel functions ⋮ Some properties of a hypergeometric function which appear in an approximation problem ⋮ Turán type inequalities for Krätzel functions ⋮ Turán type inequalities for the partial sums of the generating functions of Bernoulli and Euler numbers ⋮ Heine representations and monotonicity properties of determinants and Pfaffians

Cites Work

• Very hyperbolic polynomials
• Necessary and sufficient conditions and the Riemann hypothesis
• Very hyperbolic and stably hyperbolic polynomials
• Higher order Turán inequalities
• Extended Laguerre inequalities and a criterion for real zeros
• Very hyperbolic polynomials in one variable
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