Distributions of zeros and poles of \(N\)-point Padé approximants to complex-symmetric functions defined at complex points

DOI10.1007/s11253-022-01987-6zbMath1501.30012OpenAlexW4210399413MaRDI QIDQ2116160

Radosław Jedynak, Jacek Gilewicz

Publication date: 16 March 2022

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

Full work available at URL: https://doi.org/10.1007/s11253-022-01987-6

zbMATH Keywords

zerosPadé approximantspoles

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Padé approximation (41A21) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Cites Work

• Padé approximants in complex points revisited
• 100 years of improvements of bounding properties of Padé approximants to the Stieltjes functions: One-point, two-point and N-point Padé approximants
• A method for computing Feynman amplitudes with branch cuts
• Approximants de Padé
• \(N\)-point Padé approximants and two-sided estimates of errors on the real axis for Stieltjes functions
• Approximation of smooth functions by weighted means of \(N\)-point Padé approximants
• Magic efficiency of the approximation of smooth functions by weighted means of two \(N\)-point Padé approximants
• On the relation between measures defining the Stieltjes and the inverted Stieltjes functions
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