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Some generalized Pólya-Turán inequalities

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Publication:754000
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DOI10.1016/0022-247X(90)90247-DzbMath0717.30025MaRDI QIDQ754000

Carl L. Prather

Publication date: 1990

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


zbMATH Keywords

Riemann hypothesisJensen polynomialsPólya-Turán inequalities


Mathematics Subject Classification ID

Convexity of real functions in one variable, generalizations (26A51) Representations of entire functions of one complex variable by series and integrals (30D10) Special classes of entire functions of one complex variable and growth estimates (30D15)




Cites Work

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  • Moment inequalities and the Riemann hypothesis
  • Splines with respect to Laguerre functions
  • Yet another machine experiment in support of Riemann's conjecture
  • Applications of Laguerre Entire Functions
  • The Riemann Hypothesis and the Turan Inequalities
  • An Example of a Positive Polynomial which is not a Sum of Squares of Polynomials A Positive, but not Strongly Positive Functional
  • An Inequality of Turan Type for Jacobi Polynomials
  • On inequalities of the Turán type


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