On zeros of the numerator and denominator polynomials of Thiele's continued fraction

DOI10.1007/s11253-022-02052-yzbMath1502.30022OpenAlexW4297235647MaRDI QIDQ2081457

Yanyan Li

Publication date: 13 October 2022

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

Full work available at URL: https://doi.org/10.1007/s11253-022-02052-y

zbMATH Keywords

zerospolynomialscontinued fractions

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) Continued fractions; complex-analytic aspects (30B70) Polynomials and rational functions of one complex variable (30C10)

Cites Work

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• Determinants and their applications in mathematical physics
• Estimation of the remainder for the interpolation continued \(C\)-fraction
• Truncation error estimates for Stieltjes fractions
• Equivalence of two methods for construction of regular continued C-fractions
• Evaluation of the remainder term for the Thiele interpolation continued fraction
• Analytic Inequalities

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