Convergence of Padé approximants to quasianalytic functions beyond natural boundaries

DOI10.1016/0022-247X(73)90284-9zbMath0265.30037OpenAlexW2073087351MaRDI QIDQ2562266

J. L. Gammel, John Nuttall

Publication date: 1973

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(73)90284-9

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15) Analytic continuation of functions of one complex variable (30B40)

Related Items (12)

Convergence of Padé approximants for a \(q\)-hypergeometric series (Wynn's power series III) ⋮ Computation of domains of analyticity for some perturbative expansions of mechanics ⋮ Convergence of Padé approximants of partial theta functions and the Rogers-Szegö polynomials ⋮ Padé approximations in noise filtering ⋮ Diagonal Padé approximants and capacity ⋮ Noise in the complex plane: Open problems ⋮ Some structural properties of two counter-examples to the Baker-Gammel-Wills conjecture. ⋮ Distribution of poles of diagonal rational approximants to functions of fast rational approximability ⋮ Convergence of Padé approximants for a \(q\)-hypergeometric series (Wynn's power series I) ⋮ On the distribution of poles of Padé approximants to the \(Z\)-transform of complex Gaussian white noise ⋮ Rational interpolation and best rational approximation ⋮ A new transform for solving the noisy complex exponentials approximation problem

Cites Work

• The convergence of Padé approximants of meromorphic functions

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