Criterion of the reality of zeros in a polynomial sequence satisfying a three-term recurrence relation

DOI10.21136/CMJ.2020.0535-18MaRDI QIDQ5122223

I. Ndikubwayo

Publication date: 22 September 2020

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.08601

zbMATH Keywords

recurrence relationreal zerospolynomial sequence

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) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Real polynomials: location of zeros (26C10)

Related Items (2)

On combinatorial properties and the zero distribution of certain Sheffer sequences ⋮ Nonreal zeros of polynomials in a polynomial sequence satisfying a three-term recurrence relation

Cites Work

• The root distribution of polynomials with a three-term recurrence
• Zeros of the Wronskian of a polynomial
• Complex dynamics
• Equimodular curves
• Connections between discriminants and the root distribution of polynomials with rational generating function
• Unimodality, log-concavity, real-rootedness and beyond
• Maximal univalent disks of real rational functions and Hermite-Biehler polynomials
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