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Iterated Turán Inequalities and a Conjecture of P. Brändén

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Notions of Positivity and the Geometry of Polynomials

Part of the book series: Trends in Mathematics ((TM))

Abstract

The purpose of this note is two-fold: (1) to revisit some open problems and call attention to questions involving log-concavity and properties of functions in the Laguerre-Pólya class (Section 2) and (2) to establish some results pertaining to a conjecture of Brändén (Section 3).

Mathematics Subject Classification (2000).Primary 26D05; Secondary 26C10, 30C15.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Hawaii, 2565 McCarthy Mall, Keller 401A, Honolulu, HI, 96822, USA

    George Csordas

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  1. George Csordas
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Correspondence to George Csordas .

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Editors and Affiliations

  1. , Department of Mathematics, Royal Institute of Technology, Stockholm, 100 44, Sweden

    Petter Brändén

  2. , Mathematical Department, Stockholm University, Stockholm, SE-106 91, Sweden

    Mikael Passare

  3. , Department of Mathematics, University of California, Santa Barbara, 93106-3080, California, USA

    Mihai Putinar

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Csordas, G. (2011). Iterated Turán Inequalities and a Conjecture of P. Brändén. In: Brändén, P., Passare, M., Putinar, M. (eds) Notions of Positivity and the Geometry of Polynomials. Trends in Mathematics. Springer, Basel. https://doi.org/10.1007/978-3-0348-0142-3_7

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