Around a Conjecture of K. Tran

zbMath1463.12002arXiv1910.00278MaRDI QIDQ5120397

I. Ndikubwayo

Publication date: 10 September 2020

Full work available at URL: https://arxiv.org/abs/1910.00278

zbMATH Keywords

generating functionrecurrence relation\(q\)-discriminant

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)

Generalizing Tran's Conjecture ⋮ Nonreal zeros of polynomials in a polynomial sequence satisfying a three-term recurrence relation

Cites Work

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• The root distribution of polynomials with a three-term recurrence
• On the zero attractor of the Euler polynomials
• Zeros of the Wronskian of a polynomial
• Difference equations and quantized discriminants for \(q\)-orthogonal polynomials
• Connections between discriminants and the root distribution of polynomials with rational generating function
• On rational approximation of algebraic functions
• Limits of zeroes of recursively defined polynomials
• Chromatic Roots are Dense in the Whole Complex Plane

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