Zeros of a binomial combination of Chebyshev polynomials

DOI10.1142/S1793042122500427OpenAlexW3201169746MaRDI QIDQ5863776

Khang Tran, Summer al-Hamdani

Publication date: 3 June 2022

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.11475

zbMATH Keywords

Chebyshev polynomialszero distributions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) 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)

Cites Work

• Unnamed Item
• Discriminants of polynomials related to Chebyshev polynomials: the ``Mutt and Jeff syndrome
• Resultants of Chebyshev polynomials
• Pólya-Schur master theorems for circular domains and their boundaries
• Resultants and discriminants of Chebyshev and related polynomials
• On linear combinations of Chebyshev polynomials
• Linear combinations of polynomials with three-term recurrence

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