Power series equivalent to rational functions: a shifting - origin Kronecker type theorem, and normality of Padé tables

DOI10.1007/BF01403889zbMath0635.41018MaRDI QIDQ1097431

Doron S. Lubinsky

Publication date: 1988

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133302

zbMATH Keywords

Padé approximantsTaylor seriesPadé tableKronecker type theorem

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Padé approximation (41A21) Continued fractions; complex-analytic aspects (30B70)

Related Items

Explicit construction of general multivariate Padé approximants to an Appell function ⋮ On uniform convergence of rational, Newton-Padé interpolants of type (n,n) with free poles as \(n\to \infty\)

Cites Work

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• Padé-type approximation and general orthogonal polynomials
• On the conjecture of Meinardus on rational approximation of \(e^ x\), II
• The asymptotic accuracy of rational best approximations to \(e^ z\) on a disk
• On the Continuity of the Padé Operator
• On Convergence and Degeneracy in Rational Padé and Chebyshev Approximation