The Eneström-Kakeya theorem encounters the theory of orthogonal polynomials on the unit circle
DOI10.1016/j.laa.2013.04.009zbMath1282.42023OpenAlexW1980523205MaRDI QIDQ2637114
Andreas Lasarow, Abdon Eddy Choque Rivero
Publication date: 19 February 2014
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2013.04.009
orthogonal polynomials on the unit circletheorem of Eneström-Kakeyapolynomials with non-negative coefficientspositive Hermitian Toeplitz matricesrecurrence relations of Szegő type
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) 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) Toeplitz, Cauchy, and related matrices (15B05)
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