A new class of non-linear stability preserving operators

DOI10.1080/17476933.2011.586696zbMath1291.30033arXiv1005.4252OpenAlexW3104233268MaRDI QIDQ2851209

Lukasz Grabarek

Publication date: 10 October 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.4252

zbMATH Keywords

Laguerre-Pólya classStanley conjectureHurwitz stabilitynon-linear operatorsgeneralized Turán inequalities

Mathematics Subject Classification ID

Combinatorial inequalities (05A20) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real polynomials: location of zeros (26C10) Polynomials and rational functions of one complex variable (30C10)

Related Items (1)

Infinite log-concavity for polynomial Pólya frequency sequences

Cites Work

• Unnamed Item
• Jensen polynomials and the Turán and Laguerre inequalities
• Super ballot numbers
• Extensions of inequalities of the Laguerre and Turan type
• The Fox-Wright functions and Laguerre multiplier sequences
• On the generating functions of totally positive sequences. I
• Proof of a Conjecture of Schoenberg on the Generating Function of a Totally Positive Sequence
• On sequences of polynomials and the distribution of their zeros

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